The Derivative of ln(x and More Chain Rule - Purdue University
[Pages:3]MA 16010
The Derivative of ln(x) and More Chain Rule
The Derivative of ln(x)
d
1
[ln(x)] =
dx
x
Example 1: Find the derivative of h(x) = 2 ln(x).
Lesson 11
Example 2: Find the derivative of y = ln (x2 + 5).
Example 3: Theposition, in meters, of a particle moving on a straight line is given by s(t) = (5t - 2)2 3t, where t is measured in seconds. What is the velocity of the particle when t = 3?
MA 16010 Example 4: Find the derivative of y = 3 cot2(4x).
Lesson 11
Example 5: Find the derivative of y = e2x sin(7x).
MA 16010
DIY
1. Find the derivative of the following function. y = ln (x2 + 3) (x4 + 3x2 + 1)
Lesson 11
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