`f(x) = 2x^4 - 8, (0,-8)` Find the slope of the graph of the functions at the given point.

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Chapter 2, Review - Problem 23 - Calculus of a Single Variable (10th Edition, Ron Larson).
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mathace | (Level 3) Assistant Educator

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In order to find the slope of a function at a specific point, first find the derivative of the function, then plug in the x-value from the given point.

Given: `f(x)=2x^4-8, (0,-8)`

`f'(x)=8x^3`

`f'(0)=8(0)`

`f'(0)=0`

The slope is 0.

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