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\[y=\cos(ax^{2}+bx+c)+\sin^{3}\sqrt{ax^{2}+bx+c} \]

I want to build my logic and way of attacking problems !

\[\large y= \cos(ax^{2}+bx+c)+\sin^{3}\sqrt{ax^{2}+bx+c}\]

errr implicit derivative... only with variables? D:

no actual points? xD its going to get messy

haha,i know..and no sorry :D

yes!! i did that

what about the sin^3 part :S

so you have what I think of a chainception

Does it look right to you? I don't know if I got it right :) but there is 2 chain rule involved here

in the end thats 2ax+b

yeah thats it. Thats what you should have in my opinion :)

im doubtful about derivative of sin^3 as cos^3

nope I was right :D hehehe

HA! :D

Sirm3d. you take the derivative of the exponent of cos too?

its clearer when you write it as \[\large \left[ \sin (ax^2+bx+c)^{1/2} \right]^3\]

sugoi!

ah silly me I was thinking of sin(3x) or something

so u failed in ur test :P

O___O

Yeah I was missing a whole term cause of it. Thanks sirm3d for correcting me!

okay!

why did we have a cos there?

\[\large \sin^{3}x \]
suppose we have this

wont it be onlly 3cos^2x

3(sin x)^2 * cos x by chain rule

you should write it as (sin x)^3, then apply the chain rule

okay..!

thanks!

i get to learn a lot from every ques! :D

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yes i got it!