Question

derivative of 6sin^2x

note: only the sin is ^2. the x is not.

Answer 1

42

Answer 2

lol...

Answer 3

whats derivative of x^2 ?

Answer 4

2x!

Answer 5

its 42

Answer 6

so what will be derivative if sin^2 x ??

Answer 7

12sinx? ._.

Answer 8

now use chain rule
d/dx 6sin^2 x = 12 sin x d/dx sin x
so whats derivative of sin x ?

Answer 9

cosx

Answer 10

yes :)
so
d/dx 6sin^2 x = 12 sin x . cos x
can u simplify this further ?

Answer 11

No, dont think so.

Answer 12

u know formula for sin 2x ?

Answer 13

nope

Answer 14

sin 2x = 2 sin x cos x
so 12 sin x cos x = 6 *(2sin x cos x) = 6 sin 2x.
d/dx 6sin^2 x = 12 sin x . cos x = 6 sin 2x
got this ?

Answer 15

i think the answer 12 sin x . cos x is good for my purposes. dont need to simplify any more than that i think. ty

Answer 16

ok.
welcome :)