`y = (4x + 1)^2, (0,1)` 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 35 - Calculus of a Single Variable (10th Edition, Ron Larson).
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kalau | (Level 2) Adjunct Educator

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Use the power rule and the chain rule to find the derivative.

`y' = 2(4x+1) * (4)`

`y'=8(4x+1)`

`y'=32x+8`

Substitute the value at x=0 from the given point.

`y'=32(0)+8= 8`

The slope at the point (0,1) is 8.

Graph the derivative function and check the value at x=0.

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