Calculus 1 Problem of the Day
72 videos • 1,119 views • by Math Problems Solved Craig Faulhaber
1
Calculus POD #1 Find the Composition Values from Graphs of f(x) and g(x)
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2
Calculus POD #2 Find the Domain and Range of the Function sqrt(25-x^2)
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3
Calculus POD #3 Simplify the Following Expression [f(7+h)-f(7)] / h given that f(x) = x^2 + 49
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Calculus POD #4 Let A(x) be the area bounded by y=0, t=0, y=7, and t=x. Find A(3), formula for A(x)
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Calculus POD #5 Use the Properties of Logarithms to find the value of log_b(sqrt(xy)/z)
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Calculus POD #6 Find the average velocity of an object on the given intervals
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7
Calculus POD #7 Use the Graph to Find the Limits and Function Values
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8
Calculus POD #8 Find the value of the limit (removable discontinuity)
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9
Calculus POD #9 Find the value of the one sided limits of the piecewise function
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10
Calculus POD #10 Find the following limit at infinity f(x)= (4x^3 + 2)/(x^3 + sqrt(4x^6 + 2)
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Calculus POD #11 Use the Intermediate Value Theorem to show that the equation has at least one solut
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12
Epsilon Delta Definition of a Limit -- a Quick Analogy and Explanation
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13
Calculus POD #12 Determine the delta value given epsilon from the graph of the function
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Calculus POD #13 Epsilon Delta Proof 1
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15
Calculus POD #14 Use Epsilon and Delta to Prove the Limit Proof #2
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16
Calculus POD #15 Find the Instantaneous Velocity of an Object using the Limit Definition Derivative
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Calculus POD #16 Find the Tangent Line to the Function using the limit definition to find the slope
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Calculus POD #17 Use the graph of f to sketch f'
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Calculus POD #18 Use the Definition of the Derivative to find d/dx(ax^2 + bx + c)
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Calculus POD #19 Use the Table to find the Derivative d/dx[ 4x - 3g(x) ] evaluated at x=4
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21
Calc 1 POD #20 Find the derivative by first simplifying the expression f(w)=(4x^8 - 9x^3)/7w^3
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Calc 1 POD #21 Find the values of x for which the slope is zero f(x) = 2x^2 - 20x + 9
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23
Calc1 POD #22 Use the Quotient Rule to find the derivative
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24
Calc 1 POD #23 Use the Product and Quotient Rule to find the derivative two different ways
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25
Calc 1 POD #24 Find the Trigonometric Limit lim_{x to 0} (cos^2(x) - 1)/x
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26
Calc POD #13.5 Epsilon Delta Proof (a harder one!)
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27
Calculus 1 POD #25 Find the derivative using the Quotient Rule combined with the Product Rule
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Calculus 1 POD #26: Finding a Limit using the derivative definition
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29
Calc 1 POD #27 Position, velocity, speed, acceleration
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30
Calc POD 28 Use the Chain Rule to find the derivative of (3x + 5)^9
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Calc POD 29 Use the Chain Rule and Quotient Rule to find dy/dx if y=(5x/(5x-4))^(1/5)
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Calc 1 POD #30 Evil Double Chain Rule. Find the derivative of y=sin(cos(2e^x)))
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Calc 1 POD 31 Use Implicit Differentiation to find dy/dx. Then find the slope of the curve
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34
Calc POD 33 The Derivative of a logarithm involving the chain rule and quotient rule!
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35
Calculus POD 34 Derivative of a tower function y=x^(sqrtx)
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36
Calc POD 35 Use logarithmic differentiation to find the derivative of the tower function x^(-10x)
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37
Calculus 1 POD 36 Find the derivative of y=arcsin(7ln2x)
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38
Calc 1 POD 37 Derivatives of inverse functions
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39
Calc POD #38 Related Rates. A circle has an initial radius of 50 ft when the radius begins decre...
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Calc 1 POD #39 Related Rates. A rope passing through a capstan on a dock is attached to a boat...
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Calc 1 POD #40 Critical Points. Find the critical points of the following function f(x)=2x^2−3x−4
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Calculus POD 41 Critical Points. Find the absolute extreme values of f(x)=sin(3x) on [−π/4,π/3]
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43
Calculus POD #42 Mean Value Theorem Determine whether the Mean Value Theorem applies to...
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44
Calc 1 POD #43 Find the intervals on which f is increasing and decreasing.f(x)=x^2 ln(x^2) − 2
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45
Calc POD #44 Second Derivative Test. Locate the critical points of the following function. Then...
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46
Calc POD 45 Use f′(x)=(x−1)(x+2)(x+5) to determine the local maxima and minima, and intervals...
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47
Calc POD #46 Optimization: Of all rectangles with a perimeter of 27, which one has the max area?
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48
Calculus POD 47 Minimum Surface Area of a Tank
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49
Calc 1 POD #48 Linearizations
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50
Calculus POD 49 L'Hopital's Rule
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51
Calculus 1 POD #50 L'Hopitals Rule
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52
Calculus POD #51 Newton's Method
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Calculus POD 52. Find all of the antiderivatives for the following function f(y)=−26/y^27
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Calculus 1 POD #53 Initial Value Problem
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55
Calculus POD 54 Riemann Sums for f(x)=cos(x-pi/4)
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Calc 1 POD 55 Riemann Sums (Left, Right, Midpoint)
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57
Calculus POD 56 Areas and Integral Rules.
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Calculus 1 POD 57 Evaluate the definite Integral ∫_(1/2)^1 (x^(−3)−8) dx
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Calculus POD 58 Find the Area Using Integrals
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Calc 1 POD 59 Average value of a function f(x)=x^3−6x^2+2 on [0,4]
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Calc POD 60 Average Value! Find the points at which the function f(x)=7−6x equals its average val...
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Calculus POD 61 Integrate using a u substitution ∫2x(x^2+13)^8 dx
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63
Calculus POD 62 Use a change of variables to evaluate the integral ∫(x^6−2x^3 )^4 (x^5−x^2 )dx
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Calculus POD #63 displacement vs distance
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65
Calculus POD 64 Find the position and velocity of an object with the given acceleration, initial...
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66
Calculus POD 65 Find the area of the shaded region shown in the graph
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Calculus POD 66 Find the area of the shaded region shown in the figure between y=7-x and x=(y-4)^2/4
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Calculus POD 67 Find the area of the shaded region between cosx and cos2x
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69
Calc POD 68 Disk Method. Find the volume of the solid generated by revolving the region bounded by..
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Calc POD 69 Washer Method: Find the volume of the solid generated when R is revolved about the x-axi
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Calculus POD 70 Shell Method. Find the volume of the solid generated when R is revolved about the y
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72
Calculus POD 71 Use both the Shell and Disk/Washer Methods to find the volume of revolution
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