How do you differentiate f(x)= ln(x^2-3x)f(x)=ln(x23x)?

1 Answer

f' (x)=(2x-3)/(x^2-3x)

Explanation:

The formula for derivative of ln u is

d/dx(ln u)=(d/dxu)/ln u

f' (x)=d/dx(f (x))=(1/ln (x^2-3x))*d/dx(x^2-3x)

f' (x)=(1/ln (x^2-3x))(2x-3)

f' (x)=(2x-3)/(x^2-3x)

God bless...I hope the explanation is useful.