What is the derivative of x^sin(x)xsin(x)? Calculus Differentiating Exponential Functions Differentiating Exponential Functions with Other Bases 1 Answer Sonnhard Jul 11, 2018 f'(x)=e^(sin(x))*cos(x) Explanation: After the chain rule (f(g(x))'=f'(g(x))*g'(x) we get f'(x)=e^(sin(x))*cos(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 1881 views around the world You can reuse this answer Creative Commons License