What is the derivitive and method(of getting the derivitive) of
f'(x)=-10/(3x+2)^2
Thanks guys.
Initial equation
Take the derivative
-10 is a coefficient, so we can write
Then we rewrite without the fractions
Use the product rule to move the negative 2 out front, and subtract 1 from the exponent making it negative 3, and the chain rule to take the derivative of the inside of the exponent.
Use the power rule to turn d\dx(3x+2) into 3
Combine coefficients
Write as a fraction