SOLUTION: Differentiate each function. Express your answer in a simplified factored form a) {{{ f(x)=(x+4)^3(x-3)^6 }}} b) {{{ y=(3x+5)/((1-(x^2))) }}} h) {{{ y=((x^2-3)/(x^2+3))^4 }}}

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Differentiate each function. Express your answer in a simplified factored form a) {{{ f(x)=(x+4)^3(x-3)^6 }}} b) {{{ y=(3x+5)/((1-(x^2))) }}} h) {{{ y=((x^2-3)/(x^2+3))^4 }}}       Log On


   

Question 183798: Differentiate each function. Express your answer in a simplified factored form
a) +f%28x%29=%28x%2B4%29%5E3%28x-3%29%5E6+
b) +y=%283x%2B5%29%2F%28%281-%28x%5E2%29%29%29+
h) +y=%28%28x%5E2-3%29%2F%28x%5E2%2B3%29%29%5E4+
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Differentiate each function. Express your answer in a simplified factored form
a) f(x)=(x+4)^3(x-3)^6
Use the product rule:
f'(x) = (x+4)^3