How do you differentiate y=lnx(x^5+10x^2-19)? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Shwetank Mauria Aug 7, 2016 (dy)/(dx)=1/x(x^5+10x^2-19)+5x(x^3+4)lnx Explanation: Using product rule, if y=lnx(x^5+10x^2-19) (dy)/(dx)=1/x(x^5+10x^2-19)+lnx(5x^4+20x) = 1/x(x^5+10x^2-19)+5x(x^3+4)lnx 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 1460 views around the world You can reuse this answer Creative Commons License