Question

What's the derivative of (sin(x))^(57)?

Answer 1

57 [ sin(x) ] ^ (56) [ cos(x) ]

Answer 2

that answer was wrong...

Answer 3

http://www.wolframalpha.com/input/?i=derivative+of+%28sin%28x%29%29%5E%2857%29

Answer 4

chain rule:
\[(\sin(x))^{57}=57(\sin(x))^{56}\times \cos(x)\]

Answer 5

Starlight says that answer is incorrect. I think it is correct - just a notational difference in writing (sin (x) ) ^ 57.

Answer 6

\[g(x) = x ^{57}\]\[f(x)=\sin (x)\]\[g(f(x))=(\sin (x))^{57}\]\[g \prime(f(x)) = g \prime(f(x))f \prime(x)\]\[g \prime(f(x))=57(\sin(x))^{56}\times \cos(x)\]

Answer 7

I don't know but it was cos(x) lol... http://www.wolframalpha.com/input/?i=57th+derivative+of+sin%28x%29 and thanks