`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.

Expert Answers
kalau eNotes educator| Certified Educator

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

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



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.