How do you find the derivative of y=x(6^(-2x))? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Other Bases 1 Answer Sonnhard Jun 2, 2018 y'=6^(-2x)-2x*6^(-2x)ln(6) Explanation: By the product and the chain rule we get y'=6^(-2x)+x*6^(-2x)*ln(6)*(-2) 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 2181 views around the world You can reuse this answer Creative Commons License