How do you find the derivative of y=(lnx)^n? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Andrea S. Apr 11, 2017 dy/dx =(n (ln x)^(n-1))/x Explanation: Using the chain rule: dy/dx = d/dx (lnx)^n = n (ln x)^(n-1) d/dx (lnx) = (n (ln x)^(n-1))/x Answer link Related questions What is the derivative of f(x)=ln(g(x)) ? What is the derivative of f(x)=ln(x^2+x) ? What is the derivative of f(x)=ln(e^x+3) ? What is the derivative of f(x)=x*ln(x) ? What is the derivative of f(x)=e^(4x)*ln(1-x) ? What is the derivative of f(x)=ln(x)/x ? What is the derivative of f(x)=ln(cos(x)) ? What is the derivative of f(x)=ln(tan(x)) ? What is the derivative of f(x)=sqrt(1+ln(x) ? What is the derivative of f(x)=(ln(x))^2 ? See all questions in Differentiating Logarithmic Functions with Base e Impact of this question 15067 views around the world You can reuse this answer Creative Commons License