Question

what is the derivative of sin^2 x??

Answer 1

it is a compound function. use \((f(g(x)))' = f'(g(x))g'(x)\).

here, \(f(x)=x^2\), and \(g(x)=\sin x\).
therefore, \(((g)^2)' =( 2g) \times g'(x)\).

Answer 2

ok like @reemi said you have a composite function (sinx)^2
first we deal with the outside function which is something^2
so we take the derivative of the outside 2(something) and multiply this by the derivative of that something
2sin^(x)cos(x)

Answer 3

its the same thing as (2x+3)^2
accept here instead of 2x+3 you have sin(x)

Answer 4

please don't tell me to stop typing then delete the comment....

Answer 5

so back to the math.
so we have 2sinxcosx
now if you would like to apply some trig identity to get it to look nicer you should have one of the form @jack17 gave.

Answer 6

2sinxcosx @jessie096

Answer 7

dude makes me like you:P

Answer 8

ah nm he deleted it all

Answer 9

:)

Answer 10

Wanna help me with a math question

Answer 11

lol oh god. is it the integral to find the volume of water on earth?

Answer 12

what class is it for?

Answer 13

It's a really easy question :)

Answer 14

lol

Answer 15

But seriously, it is

Answer 16

let me go outside and smoke real fast, paste it to me.

Answer 17

I think you have a much better grip on non analysis calculus, so if you cant get it....

Answer 18

Let W be the subspace of vectors in R^3 that are orthogonal to w = (-3,5,1). Find a basis for W. What is the dimension of the subspace? Give a geometrical description.

Answer 19

I don't remember all methods from calculus

Answer 20

ahh I can do this.

Answer 21

brb

Answer 22

lol everyone just have a conversation on my question :3 anyways thanks!!!

Answer 23

so the word is "composite" not "compound" ?