Calculus 4. Using the limit definition of the derivative, find the derivative of g(x) = √2x +1.5. Using limits, find an equation of the line tangent to the function f(x) = 5x - 3x² atx = 2. 8. Find the linearization of each function at the indicated value using the derivativeprovided.(a) f(x) = sin x at x = if f'(x) = cos(x)(b) f(x) = x³/² at x = 16 if f'(x) = 2x¹/2(c) f(x) = 2 at x = 0 if f'(x) = ln(2) 2*

Answered: 4. Using the limit definition of the…

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Calculus

4. Using the limit definition of the derivative, find the derivative of g(x) = √2x +1.

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

6th Edition

ISBN:9781337111348

Author:Bruce Crauder, Benny Evans, Alan Noell

Publisher:Bruce Crauder, Benny Evans, Alan Noell

Chapter1: Functions

Section1.2: Functions Given By Tables

Problem 32SBE: Does a Limiting Value Occur? A rocket ship is flying away from Earth at a constant velocity, and it...

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Question

Calculus

4. Using the limit definition of the derivative, find the derivative of g(x) = √2x +1.
5. Using limits, find an equation of the line tangent to the function f(x) = 5x - 3x² at
x = 2.

8. Find the linearization of each function at the indicated value using the derivative
provided.
(a) f(x) = sin x at x = if f'(x) = cos(x)
(b) f(x) = x³/² at x = 16 if f'(x) = 2x¹/2
(c) f(x) = 2 at x = 0 if f'(x) = ln(2) 2*

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$g (x) = \sqrt{2 x + 1}$

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