Calculus 1: Derivatives
33 videos • 1,151 views • by Math Problems Solved Craig Faulhaber
1
Calculus POD #15 Find the Instantaneous Velocity of an Object using the Limit Definition Derivative
Math Problems Solved Craig Faulhaber
Download
2
Calculus POD #16 Find the Tangent Line to the Function using the limit definition to find the slope
Math Problems Solved Craig Faulhaber
Download
3
Calculus POD #17 Use the graph of f to sketch f'
Math Problems Solved Craig Faulhaber
Download
4
Calculus POD #18 Use the Definition of the Derivative to find d/dx(ax^2 + bx + c)
Math Problems Solved Craig Faulhaber
Download
5
Calculus POD #19 Use the Table to find the Derivative d/dx[ 4x - 3g(x) ] evaluated at x=4
Math Problems Solved Craig Faulhaber
Download
6
Calc 1 POD #20 Find the derivative by first simplifying the expression f(w)=(4x^8 - 9x^3)/7w^3
Math Problems Solved Craig Faulhaber
Download
7
Calc 1 POD #21 Find the values of x for which the slope is zero f(x) = 2x^2 - 20x + 9
Math Problems Solved Craig Faulhaber
Download
8
Calc1 POD #22 Use the Quotient Rule to find the derivative
Math Problems Solved Craig Faulhaber
Download
9
Calc 1 POD #23 Use the Product and Quotient Rule to find the derivative two different ways
Math Problems Solved Craig Faulhaber
Download
10
Calc 1 POD #24 Find the Trigonometric Limit lim_{x to 0} (cos^2(x) - 1)/x
Math Problems Solved Craig Faulhaber
Download
11
Calculus 1 POD #25 Find the derivative using the Quotient Rule combined with the Product Rule
Math Problems Solved Craig Faulhaber
Download
12
Calculus 1 POD #26: Finding a Limit using the derivative definition
Math Problems Solved Craig Faulhaber
Download
13
Calc 1 POD #27 Position, velocity, speed, acceleration
Math Problems Solved Craig Faulhaber
Download
14
Calc POD 28 Use the Chain Rule to find the derivative of (3x + 5)^9
Math Problems Solved Craig Faulhaber
Download
15
Calc POD 29 Use the Chain Rule and Quotient Rule to find dy/dx if y=(5x/(5x-4))^(1/5)
Math Problems Solved Craig Faulhaber
Download
16
Calc 1 POD #30 Evil Double Chain Rule. Find the derivative of y=sin(cos(2e^x)))
Math Problems Solved Craig Faulhaber
Download
17
Calc 1 POD 31 Use Implicit Differentiation to find dy/dx. Then find the slope of the curve
Math Problems Solved Craig Faulhaber
Download
18
Calc POD 33 The Derivative of a logarithm involving the chain rule and quotient rule!
Math Problems Solved Craig Faulhaber
Download
19
Calculus POD 34 Derivative of a tower function y=x^(sqrtx)
Math Problems Solved Craig Faulhaber
Download
20
Calc POD 35 Use logarithmic differentiation to find the derivative of the tower function x^(-10x)
Math Problems Solved Craig Faulhaber
Download
21
Calculus 1 POD 36 Find the derivative of y=arcsin(7ln2x)
Math Problems Solved Craig Faulhaber
Download
22
Calc 1 POD 37 Derivatives of inverse functions
Math Problems Solved Craig Faulhaber
Download
23
Calc POD #38 Related Rates. A circle has an initial radius of 50 ft when the radius begins decre...
Math Problems Solved Craig Faulhaber
Download
24
Calc 1 POD #39 Related Rates. A rope passing through a capstan on a dock is attached to a boat...
Math Problems Solved Craig Faulhaber
Download
25
Calc 1 POD #40 Critical Points. Find the critical points of the following function f(x)=2x^2−3x−4
Math Problems Solved Craig Faulhaber
Download
26
Calculus POD 41 Critical Points. Find the absolute extreme values of f(x)=sin(3x) on [−π/4,π/3]
Math Problems Solved Craig Faulhaber
Download
27
Calculus POD #42 Mean Value Theorem Determine whether the Mean Value Theorem applies to...
Math Problems Solved Craig Faulhaber
Download
28
Calc 1 POD #43 Find the intervals on which f is increasing and decreasing.f(x)=x^2 ln(x^2) − 2
Math Problems Solved Craig Faulhaber
Download
29
Calc POD #44 Second Derivative Test. Locate the critical points of the following function. Then...
Math Problems Solved Craig Faulhaber
Download
30
Calc POD 45 Use f′(x)=(x−1)(x+2)(x+5) to determine the local maxima and minima, and intervals...
Math Problems Solved Craig Faulhaber
Download
31
Calc POD #46 Optimization: Of all rectangles with a perimeter of 27, which one has the max area?
Math Problems Solved Craig Faulhaber
Download
32
Calculus POD 47 Minimum Surface Area of a Tank
Math Problems Solved Craig Faulhaber
Download
33
Calc 1 POD #48 Linearizations
Math Problems Solved Craig Faulhaber
Download