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Find g'(x) for the given function. Then find g'(-4), g'(0), and g'(2). g(x)=√15x

Find g'(x) for the given function. Then find g'(-4), g'(0), and g'(2). g(x)=√15x

Question
**Problem: Finding the Derivative** You are given the function \( g(x) = \sqrt{15x} \). ### Task: 1. Find the derivative \( g'(x) \) of the given function. 2. Evaluate the derivative at the specified points: \( g'(-4) \), \( g'(0) \), and \( g'(2) \). **Solution Approach:** To find \( g'(x) \), apply the rules of differentiation to the function \( g(x) \). Then, substitute each of the specified values into the derivative to evaluate it at those points.
Transcribed Image Text:**Problem: Finding the Derivative** You are given the function \( g(x) = \sqrt{15x} \). ### Task: 1. Find the derivative \( g'(x) \) of the given function. 2. Evaluate the derivative at the specified points: \( g'(-4) \), \( g'(0) \), and \( g'(2) \). **Solution Approach:** To find \( g'(x) \), apply the rules of differentiation to the function \( g(x) \). Then, substitute each of the specified values into the derivative to evaluate it at those points.
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