How do you differentiate 9^x9x? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Other Bases 1 Answer Alan N. Aug 26, 2016 ln9*9^xln9⋅9x Explanation: f(x) = 9^xf(x)=9x lnf(x) = xln9lnf(x)=xln9 1/f(x)*f'(x) = ln9 (Implicit differentiation) f'(x) = ln9*f(x) = ln9*9^x Answer link Related questions How do I find f'(x) for f(x)=5^x ? How do I find f'(x) for f(x)=3^-x ? How do I find f'(x) for f(x)=x^2*10^(2x) ? How do I find f'(x) for f(x)=4^sqrt(x) ? What is the derivative of f(x)=b^x ? What is the derivative of 10^x? How do you find the derivative of x^(2x)? How do you find the derivative of f(x)=pi^cosx? How do you find the derivative of y=(sinx)^(x^3)? How do you find the derivative of y=ln(1+e^(2x))? See all questions in Differentiating Exponential Functions with Other Bases Impact of this question 6833 views around the world You can reuse this answer Creative Commons License