To show: The expression for rate of change of the function can also be expressed as
Explanation of Solution
Given information:
The trigonometric function
Rate of change of the function is
Formula used:
Rate of change of a function is derivative of the function with respect to independent variable.
The Pythagorean identity,
Conversion rules,
Calculation:
Consider the function,
Differentiate the function with respect to x,
Recall that
Apply it to further simplify the expression.
Recall the Pythagorean identity,
Apply it,
Therefore, rate of change of the function is,
Thus, the expression for rate of change of the function
Chapter 5 Solutions
EBK PRECALCULUS W/LIMITS
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