How do you find the derivative of y=4x^(-1/4)-5+sqrt(3x)? Calculus Basic Differentiation Rules Power Rule 1 Answer Sasha P. Oct 17, 2015 y'=-x^(-5/4)+3/(2sqrt(3x)) Explanation: y'=4(-1/4)x^(-1/4-1)+1/(2sqrt(3x))*(3x)' y'=-x^(-5/4)+3/(2sqrt(3x)) 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 1724 views around the world You can reuse this answer Creative Commons License