Question

find derivative of (x^4 +7x^2 -6)^4

Answer 1

use chain rule

Answer 2

did you understand what I meant by chain rule?

Answer 3

yeah kinda...i knew to use the chain rule but the rule kinda confuses me...would it be....

Answer 4

4(x^4 + 7x^2 -6)^3 x (4x^3 +14x)

Answer 5

yes

Answer 6

hmm...awesome, thanks!

Answer 7

you know why it works?

Answer 8

ehh...not really haha, i know its better than using the product rule 4 times though haha

Answer 9

ok then, chain rule for derivatives effectively means that given some function F, let G be some 'inner function of F' where F(G) or F is a shell on G, then chain rule simple states that the derivative of F is G'F' where F is some X and decreases a power as you're accustomed to.

Answer 10

ahh....i kind of actually understand that haha thank you!

Answer 11

Final answer is 8x(2x^2+7)(x^4 +7x^2 -6)^3