Question

Find the absolute extrema if they exist, as well as all values of x where they occur, for the function \begin{equation} f(x) = \frac{1}{7}(x^2 - 25) \end{equation} on the domain $[-5, 6]$.

          Find the absolute extrema if they exist, as well as all values of x where they occur, for the function \begin{equation*} f(x) = \frac{1}{7}(x^2 - 25) \end{equation*} on the domain $[-5, 6]$.

Find the absolute extrema if they exist, as well as all values of x where they occur, for the function
f(x) = (1)/(7)(x^2 - 25)
on the domain [-5, 6].

Added by Josefina C.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Amy Jiang

05/21/2020

Step 1

To find the critical points, we need to find where the derivative of the function is equal to zero or undefined. First, find the derivative of f(x): f'(x) = (1/7)(x^2 - 25)^(-6/7)(2x) Setting f'(x) equal to zero and solving for x: (1/7)(x^2 - 25)^(-6/7)(2x) = Show more…

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Find the absolute extrema if they exist, as well as all values of x where they occur, for the function f(x)=(x^(2)-25)^((1)/(7)) on the domain -5,6. Find the absolute extrema if they exist, as well as all values of x where they occur, for the function f(x)=(2 -25) on the domain[-5,6]