Question

Find the slope of the tangent to the curve y = 3x4 − 4x at x = 4.

Answer 1

The given curve is y = 3x4 − 4x.

Then, the slope of the tangent to the given curve at x = 4 is given by,

\frac{\text{dy}}{\text{dx}}\bigg]_{x-4}$$=12x^3-4]_{x=4}=12(4)3-4=12(64)-4=764