Question

Consider the curve y = x − x7.
(a) Find the slope of the tangent line to the curve at the point (1, 0).

Answer 1

x-x^7

Answer 2

slope of tangent = derivative of function

dy/dx = 1 - 7x^6

plug in x-value of point (1,0)

dy/dx = 1 - 7 = -6