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 11073 views around the world You can reuse this answer Creative Commons License