Question

Find the derivative of y=cos3x^2 & y=(cos3)x^2.
explain without chain rule ?

Answer 1

do you mean \[\huge y = \cos^3 (x^2)\]

Answer 2

\[y=\cos 3x ^{2}\]

Answer 3

Can you clarify a bit more, @distinction ?

Answer 4

the derivative, as in
y= 5+sin x --> y'=cos x
or y =xcosx ---> y'= cosx-sinx

Answer 5

I know what a derivative is, and if y = x*cos(x), then y' = cos(x) - x*sin(x) . . .
What do you mean by "explain without chain rule?"

Answer 6

i didnt learn how to use the chain rule yet.. so i wanted to know how to find the derivative without applying it.

Answer 7

Perhaps u can do it from first principles (x to x+h etc), think u may just as well wait for the chain rule though...