What is the derivative of #5^(x+1)#? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Other Bases 1 Answer Eddie Jul 7, 2016 # y' = ln 5*5^{x+1}# Explanation: use logarithmic diff #y = 5^{x+1}# #ln y = ln 5^{x+1} = (x+1) ln 5# #1/y y' = ln 5# # y' = ln 5*5^{x+1}# 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 1165 views around the world You can reuse this answer Creative Commons License