Question

What is the derivative of sinx^2?

Answer 1

\[\sin ^{2}x\] ?

Answer 2

yes

Answer 3

ok
can you simplify sin^2 x ?

Answer 4

1-cos2x/2

Answer 5

now you have
the derivative of 1/2
minus the derivative of -cos2x/2

Answer 6

the derivative of 1/2 is zero

Answer 7

and that of -cos2x/2
is 2*sin2x

Answer 8

thanks))

Answer 9

anytime :)

Answer 10

I think it should be just sin2x

Answer 11

The derivative of
\(sin^2 x~~\neq ~~2sin 2x\)

Answer 12

It is just

sin 2x

Answer 13

you need to use chain rule to solve this:
dy/dx = (dy/dt) * (dt/dx)

Answer 14

d(sin^2x)/dx = {d(sin^2x)/d(sinx)} * {d(sinx)/dx}
here i let sinx =y
so, d(y^2)/dx = {d(y^2)/dy} * {dy/dx}
= 2y dy/dx
= 2 sinx d(sinx)/dx
= 2 sinx cosx
= sin2x