Question

Heeeeeelp!!!

Question 1 (10). Find the derivative of the following functions:

Answer 1

First Off, I Can't Hardly See The Functions, SO if a NUMBER is off by a tad, it's because I couldn't see it from the photo. Some answers, have been simplified...

A. Product Rule

`f(x) = {x}^(5) \sin(5x) \\ f'(x) = ( {x}^(5) * 5 \cos(5x) ) + ( {5x}^(4) * \sin(5x)) \\ f'(x) = {5x}^(4) (x \cos(5x) + \sin(5x) )`
B. Chain Rule

`f(x) = (x + \sin(x))^(23) \\ f'(x) = 23(x + \sin(x)) ^(22) (1 + \cos(x))`
C. I CAN'T READ THIS ONE FROM THE PHOTO

D. Quotient Rule

`f(x) = (3 + (3)/(x) )/(3 - (3)/(x) ) \\ f'(x) = \frac{((3 - (3)/(x) ) * ( \frac{ - 3}{ {x}^(2) } )) - ((3 + (3)/(x) ) * ( \frac{3}{ {x}^(2) } ))}{(3 - (3)/(x)) ^(2) }`