Question

Find the slope of the tangent to the graph of the given function at the indicated point. HINT [Recall that the slope of the tangent to the graph of f at x = a is f '(a).] f(x) = x 8 − 1; (−8, −2)

Answer 1

f'(x)

$= 8{x}^{7}$

slope

$8 {( - 8)}^{7} = - {8}^{8}$