Calculus can be used to find the slope of the line tangent to a curve. The slope of the tangent to the curve $y = f ( x ) \text { at } x = a$ is f'(a). Use f'(x) to find the slope of the tangent to $y = f ( x )$ at the given value of x.
-$$f ^ { \prime } ( x ) = - x ^ { 4 } + 3 x ^ { 3 } + 5 x ^ { 2 } - 8 x + 13 \text { at } x = 2$$
A) 25
B) 31
C) $- 1$
D) 57

Question

Quizplus · Accepted Answer

f'(2) = -2^4 + 3(2)^3 + 5(2)^2 - 8(2) + 13 = -16 + 24 + 20 - 16 + 13 = 25

Calculus Can Be Used to Find the Slope of the Line