Differentiate the function.

Question

z(y) = A / y¹¹+Be^y

Answer 1

I find it easier to differentiate by writing the function using a negative exponent:

z(y) = Ay^-11 + Be^y

So, using the power rule:

z'(y) = -11y^-12 + Be^y

(Notice that differentiating Be^y doesn't change it)

Of course you can re-write it without the negative exponent as:

z'(y) = -11/y¹² + Be^y