Question

Find derivative of sin^2(x)

Answer 1

think of it as
\[\left(\sin(x)\right)^2\] and use the chain rule

Answer 2

How do i do that?

Answer 3

the derivative of \(x^2\) is \(2x\) and by the chain rule the derivative of \(f^2(x)\) is
\[2f(x)f'(x)\]

Answer 4

put \(f(x)=\sin(x)\) and \(f'(x)=\cos(x)\) in the above

Answer 5

Well like i knew that x^2=2x and sinx=cosx but i dont know how to work the problem and write the answer

Answer 6

i am fairly sure that you don't believe either \(x^2=2x\) or \(\sin(x)=\cos(x)\)

Answer 7

sen²x = sen x * sen x

sen²x = 1 - cos²x
is just a trigonometric identity