What is the derivative of #sqrt(x^5)#? Calculus Basic Differentiation Rules Chain Rule 1 Answer GiĆ³ Apr 12, 2015 Write it as: #x^(5/2)# and the derive it as #x^n# (giving #nx^(n-1)#): #y'=5/2x^(5/2-1)=5/2x^(3/2)=5/2sqrt(x^3)# Answer link Related questions What is the Chain Rule for derivatives? How do you find the derivative of #y= 6cos(x^2)# ? How do you find the derivative of #y=6 cos(x^3+3)# ? How do you find the derivative of #y=e^(x^2)# ? How do you find the derivative of #y=ln(sin(x))# ? How do you find the derivative of #y=ln(e^x+3)# ? How do you find the derivative of #y=tan(5x)# ? How do you find the derivative of #y= (4x-x^2)^10# ? How do you find the derivative of #y= (x^2+3x+5)^(1/4)# ? How do you find the derivative of #y= ((1+x)/(1-x))^3# ? See all questions in Chain Rule Impact of this question 1235 views around the world You can reuse this answer Creative Commons License