Question

The slope of the curve ƒ(x) = x2 + 2 at x = 3 is _______.

6
9
3
0

Answer 1

The slope of the curve ƒ(x) = x^2 + 2 at x = 3 can be found by taking the derivative of the function with respect to x and evaluating it at x = 3.

ƒ(x) = x^2 + 2

Taking the derivative:

ƒ'(x) = 2x

Substituting x = 3:

ƒ'(3) = 2(3) = 6

Therefore, the slope of the curve ƒ(x) = x^2 + 2 at x = 3 is 6.