How do you differentiate r(x)=e^(6x^2-8x)+1/x? Calculus Differentiating Logarithmic Functions Differentiating Logarithmic Functions with Base e 1 Answer Sonnhard Jun 17, 2018 r'(x)=e^(6x^2-8x)*(12x-8)-1/x^2 Explanation: By the chain rule and the sum rule we get r'(x)=e^(6x^2-8x)(12x-8)-1/x^2 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 1632 views around the world You can reuse this answer Creative Commons License