`y = 2x^4 - 3, (1,-1)` Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results.

Textbook Question

Chapter 2, 2.2 - Problem 34 - Calculus of a Single Variable (10th Edition, Ron Larson).
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kalau | (Level 2) Adjunct Educator

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Take the derivative of the function.

`y' = 8x^3`

Substitute the x value of the given point.

`y'(1) = 8(1)^3 = 8`

The derivative, or slope, at point (1,-1) is eight.

Check by graphing the derivative function y'.

 

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