How do you find the derivative of #f(x)=2x^6#? Calculus Basic Differentiation Rules Power Rule 1 Answer Daniel L. Dec 15, 2016 See explanation. Explanation: The Power Rule says that if #f(x)=x^n#, then #f'(x)=n*x^(n-1)#. So in the given example we have: #f'(x)=2*6*x^5=12x^5# 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 2075 views around the world You can reuse this answer Creative Commons License