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 2306 views around the world You can reuse this answer Creative Commons License