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Differentiate Sin^2(4x)

Hello

I am writing out some Core 4 notes and i'm not sure on the working for this:

d/dx( Sin^2(4x))

= 4sin8x

If someone could explain that would be great

Thank you :biggrin:

DDD

Reply 1

lazy_fish

Original post by Ammy97

...

Chain rule then double angle formulae.

Reply 2

brianeverit

Original post by Ammy97

Hello

I am writing out some Core 4 notes and i'm not sure on the working for this:

d/dx( Sin^2(4x))

= 4sin8x

If someone could explain that would be great

Thank you :biggrin:

DDD

That is not correct.

\frac{\text{d}}{\text{d}x}\sin^24x=8\sin4x\cos4x

Reply 3

lazy_fish

Original post by brianeverit

...

2 \sin 4x \cos 4x = \sin 8x

Reply 4

davros

Original post by Ammy97

Hello

I am writing out some Core 4 notes and i'm not sure on the working for this:

d/dx( Sin^2(4x))

= 4sin8x

If someone could explain that would be great

Thank you :biggrin:

DDD

You know that