Question

Let f(x)=7sin^-1(x^4) Find f'(x)

Answer 1

ok. let's take it one at a time. what's the derivative of arcsinx?

Answer 2

1/(sqrt1-x^2)

Answer 3

yep, so plug in x^4 into your x

Answer 4

and afterwards don't forget the chain rule. You'll have to multiply by the derivative of the inner function

Answer 5

So 1/(sqrt1-(x^4)^2)?

Answer 6

multiplied by the inner function and don't forget the 7.

Answer 7

\[\frac{ 28x ^{3} }{ \sqrt{1-x ^{8}} }\]

Answer 8

I believe that is your answer.

Answer 9

Thanks!

Answer 10

basically just a mini summary, you would take the derivative of the outer function, which would be 7arcsin and plug in the x that they give you, multiplied by the derivative of the inner function which would be x^4