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let gg be the function given by g(x)=x4−2x3−3xg(x)=x4−2x3−3x. what are all values of xx such that g′(x)=12g′(x)=12 ?

Respuesta :

For given function g(x) = x^4 - 2x^3 - 3x the value of x such that g'(x) = 12 is x = 2.24

In this question, we have been given a function g(x) = x^4 - 2x^3 - 3x

We need to find the value of x such that g'(x) = 12

First we find the derivative of given function g(x) with respect to x

g'(x) = 4x³ - 6x² - 3

When g'(x) = 12

4x³ - 6x² - 3 = 12

4x³ - 6x² - 3 + 3 = 12 + 3

4x³ - 6x² - 15 = 0

After solving given polynomial we get,

x = 2.24

Therefore,  the value of x is 2.24

Learn more about the function here:

https://brainly.com/question/28278699

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