`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.

Expert Answers
kalau eNotes educator| Certified Educator

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'.