It's one whole question. Please answer both. (a) f'(0)(b) f'(1)(c) f'(2)(d) f'(3)

Name: It's one whole question. Please answer both. (a) f'(0)(b) f'(1)(c) f'(
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Description: It's one whole question. Please answer both. (a) f'(0)(b) f'(1)(c) f'(2)(d) f'(3)

Answered: (a) f'(0) (b) f'(1) (c) f'(2) (d) f'(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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It's one whole question. Please answer both.

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Step 1

“Since you have posted a question with multiple sub-parts, we will solve first three subparts for you. To get the remaining sub-parts solved, please repost the complete question and mention the sub-parts to be solved.”.

For a differentiable function $f (x)$ , $f' (a)$ is the slope of the tangent line at $x = a .$

From the graph, we can see that the target at $x = 0$ makes approximately an angle $30 °$ with the x-axis. So

$\begin{array}{rcl} f' (0) & = & \tan (30) ° \\ = & \frac{1}{\sqrt{3}} \\ \approx & 0.577 \end{array}$

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