What is the derivative of #f(x)=-2x^-3+x^2-7#? Calculus Basic Differentiation Rules Power Rule 1 Answer Guilherme N. Jan 6, 2016 Recalling the power rule, which states that, for #y=x^n#, then #y'=n*x^(n-1)#, we can proceed: Explanation: #(df(x))/(dx)=(-3)(-2x^(-4))+2x# #(df(x))/(dx)=6x^-4+2x# 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 1464 views around the world You can reuse this answer Creative Commons License