How do you differentiate e^x/ln x? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Calculators 1 Answer Sasha P. Mar 15, 2016 y'=(e^x(xlnx + 1))/(xln^2x) Explanation: y=f/g y'=(f'*g-f*g')/g^2 y=e^x/lnx => f=e^x, g=lnx f'=e^x, g'=1/x y'=(e^xlnx - e^x/x)/ln^2x y'=(e^x(xlnx - 1))/(xln^2x) Answer link Related questions How do you use a calculator to find the derivative of f(x)=e^(x^2) ? How do you use a calculator to find the derivative of f(x)=e^(1-3x) ? How do you use a calculator to find the derivative of f(x)=e^sqrt(x) ? What is the derivative of e^(-x)? What is the derivative of ln(2x)? How do you differentiate (lnx)^(x)? How do you differentiate x^lnx? How do you differentiate f(x) = e^xlnx? How do you differentiate e^(lnx) ? How do you differentiate y = lnx^2? See all questions in Differentiating Exponential Functions with Calculators Impact of this question 3153 views around the world You can reuse this answer Creative Commons License