Question

find the second derivative of the function f(x) = 2(x^2-1)^3

Answer 1

did you find the first derivative?

Answer 2

@satellite73 i'm not sure but is the first derivative 6(x^2 - 1)^2 * 2x

Answer 3

Correct. Now combine the 6 and 2x.

Answer 4

12x(x^2 - 1)^2

Answer 5

Great. Now differentiate again.

Answer 6

is is 48x(x^2 - 1) ?

Answer 7

For this differentiation, you need the rule of differentiating a product.

Answer 8

i mean 48x^2(x^2 - 1) however, in my textbook it says the answer is 12(5x^2 - 1) (x^2 - 1)

Answer 9

d/dx (uv) = uv' + vu'

Answer 10

is the first step [2(x^2 - 1) * 2x] (12x) + [(x^2 -1)^2] [12]