To find: The derivative of exponential function, logarithmic function and inverse trigonometric function.
Explanation of Solution
Given information :
The derivative of a polynomial function is a polynomial function.
The derivative of a trigonometric function is a trigonometric function
Proof:
For exponential function:
The derivative of exponential function say,
Mathematically,
Which is an exponential function.
For inverse trigonometric function.
The inverse trigonometric functions are also known as Arc functions.
Inverse Trigonometric Functions are defined in a certain interval (under restricted domains)
The derivative of inverse trigonometric functions are first-order derivatives:
Chapter 3 Solutions
AP CALCULUS TEST PREP-WORKBOOK
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