How do you find the derivative of f(x)=x^(-9/7)? Calculus Basic Differentiation Rules Power Rule 1 Answer Jim H Dec 5, 2016 Use the power rule: d/dx(x^p) = px^(p-1) Explanation: f'(x) = -9/7x^(-9/7-1) = -9/7x^(-16/7) Answer link Related questions How do you find the derivative of a polynomial? How do you find the derivative of y =1/sqrt(x)? How do you find the derivative of y =4/sqrt(x)? How do you find the derivative of y =sqrt(2x)? How do you find the derivative of y =sqrt(3x)? How do you find the derivative of y =sqrt(x)? How do you find the derivative of y =sqrt(x) using the definition of derivative? How do you find the derivative of y =sqrt(3x+1)? How do you find the derivative of y =sqrt(9-x)? How do you find the derivative of y =sqrt(x-1)? See all questions in Power Rule Impact of this question 2476 views around the world You can reuse this answer Creative Commons License