chain rule

[cowgiljl]

g(x) = (4+csc^2(3x))^2

this is what i got
1/2(4+csc^2(3x))^-1/2 * d/dx (4+csc^2(3x)

g'(x) = 1/2(4+csc(3x))^-1/2 (1+cot3)
did i go about this correct to get the answer or did i mess it up at the diretive part?

joe

[motai]

Is the question g(x) = (4+csc^2(3x))^2 or g(x) = (4+csc^2(3x))^1/2?

This makes a difference when applying the chain rule.

[cowgiljl]

g(x) = (4+csc^2(3x))^1/2?

it is this one it was orginally the squrt of 4+csc^2(3x) i just attempted to simplify it

[motai]

Yeah, from your work g(x)=(4+csc^2(3x))^2 should be

g(x)=2(4+csc^2(3x))^1 * d/dx (4+csc^2(3x)) instead of
g(x)=1/2(4+csc^2(3x))^-1/2 * d/dx (4+csc^2(3x))

otherwise that last one would have corresponded an original equation written as g(x)=(4+csc^2(3x))^1/2