Set f(x) Question 1 Solve the equation f'(x) = = 0. If there are more than one solution, separate your answers with a comma. If there are no solutions, write DNE. x = DNE Question 2 It can be shown that f is one-to-one on the entire real line. So, f has an inverse. Is f-1 differentiable on the entire real line? Yes O No Question 3 (f¹) '(¹) = Hint: Compute f(0). Part 2 of 3 Part 3 of 3

Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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I need help solving question 3, a photo is attached below.

**Set** \( f(x) = e^{5x^3 + 7x} \).

**Question 1:** Solve the equation \( f'(x) = 0 \). If there are more than one solution, separate your answers with a comma. If there are no solutions, write DNE.

\[ x = \text{DNE} \] ✔️

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**Question 2:** It can be shown that \( f \) is one-to-one on the entire real line. So, \( f \) has an inverse. Is \( f^{-1} \) differentiable on the entire real line?

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Transcribed Image Text:**Set** \( f(x) = e^{5x^3 + 7x} \). **Question 1:** Solve the equation \( f'(x) = 0 \). If there are more than one solution, separate your answers with a comma. If there are no solutions, write DNE. \[ x = \text{DNE} \] ✔️ --- **Question 2:** It can be shown that \( f \) is one-to-one on the entire real line. So, \( f \) has an inverse. Is \( f^{-1} \) differentiable on the entire real line? - [
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