Question

the second deravative of sin2x is?

Answer 1

is this sin^2(x) or sin (2x)??

Answer 2

what does second deravitive mean?

Answer 3

no

Answer 4

you take the derivative...then take the derivative of the first derivative

Answer 5

how do i do that?

Answer 6

steps please

Answer 7

which is it? sin ^2 (x)? or sin (2x)? tehy have different derivatives

Answer 8

sin (2x)

Answer 9

expand it first...it's (2sinx)(cosx)...so take the derivative by product rule...

2sinx(-sinx) + cosx(2cosx)

-2sin^2x + 2 cos^2x is the first derivative...now derive this again

-4(sinx)(cosx) + 4(cosx)(-sinx)

-4(sinx)(cosx) - 4(cosx)(sinx)

that is equal to...
-8(sinx)(cosx)

yes?

Answer 10

i got -4sin2x

Answer 11

yeah..that's correct too...it's just in a condensed/simplified form

Answer 12

ok