How do you find the derivative of #x^(3/4)#? Calculus Basic Differentiation Rules Power Rule 1 Answer Aviv S. Apr 16, 2018 The derivative is #3/(4x^(1/4))# or #3/4x^(-1/4)#. Explanation: Use the power rule: #color(white)=d/dx[x^color(red)(3/4)]# #=color(red)(3/4)x^(color(red)(3/4)-1)# #=color(red)(3/4)x^(color(red)(3/4)-4/4)# #=color(red)(3/4)x^(-1/4)# #=color(red)(3/(4color(black)(x^(1/4))))# 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 10016 views around the world You can reuse this answer Creative Commons License