Let f(x) = 35x2/7 (a) Find the derivative of the function f. (Simplify your answer completely.) 10 (b) State the domain of f and the domain of f'. (Enter your answer using interval notation.) The domain of f is The domain of f'is (c) Determine the value(s) of x in the domain of f, if any, at which the function is not differentiable. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) (Hint: find the value(s) of x where f'is not defined, then check if the value(s) of x is in the domain of f.)

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter3: The Derivative
Section3.CR: Chapter 3 Review
Problem 12CR: Determine whether each of the following statements is true or false and explain why. The derivative...
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Let f(x) = 35x2/7
(a)
Find the derivative of the function f. (Simplify your answer completely.)
10
()
f'(x) =
(b)
State the domain of fand the domain of f'. (Enter your answer using interval notation.)
The domain of fis
The domain of f'is
(c) Determine the value(s) of x in the domain of f, if any, at which the function is not differentiable. (Enter your answers as a comma-separated list. If an answer does not exist, enter
DNE.)
(Hint: find the value(s) of x where f'is not defined, then check if the value(s) of x is in the domain of f.)
Transcribed Image Text:Let f(x) = 35x2/7 (a) Find the derivative of the function f. (Simplify your answer completely.) 10 () f'(x) = (b) State the domain of fand the domain of f'. (Enter your answer using interval notation.) The domain of fis The domain of f'is (c) Determine the value(s) of x in the domain of f, if any, at which the function is not differentiable. (Enter your answers as a comma-separated list. If an answer does not exist, enter DNE.) (Hint: find the value(s) of x where f'is not defined, then check if the value(s) of x is in the domain of f.)
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