How do you differentiate #f(x) = 5/(x^3+4)# using the quotient rule?
1 Answer
Jan 23, 2016
Explanation:
Application of the quotient rule shows that
#f'(x)=((x^3+4)d/dx[5]-5d/dx[x^3+4])/(x^3+4)^2#
Find each derivative.
#f'(x)=((x^3+4)(0)-5(3x^2))/(x^3+4)^2#
#f'(x)=(-15x^2)/(x^3+4)^2#