How do you find the derivative of y=1/x^8? Calculus Basic Differentiation Rules Power Rule 1 Answer Jim H Dec 6, 2016 Rewrite it as y=x^(-8) Explanation: y = 1/x^8 = x^-8 Not use the power rule to see that y' = -8x^-9 = -8/x^9 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 2381 views around the world You can reuse this answer Creative Commons License