B) Let g(x) =x/2sqrt(36-x^2)+18sin^-1(x/6)

Find g'(x) =

I suppose you mean

Differentiate one term at a time.

Rewrite the first term as

Then the product rule says

Then with the power and chain rules,

Simplify this a bit by factoring out :

For the second term, recall that

Then by the chain rule,

So we have

and we can simplify this by factoring out to end up with

answer: a and b

step-by-step explanation: