How do you differentiate y = x^5 + (7 − x)^5? Calculus Basic Differentiation Rules Chain Rule 1 Answer Alan N. Apr 13, 2018 dy/dx = 5(x^4-(7-x)^4) Explanation: y = x^5+(7-x)^5 Apply power rule and chain rule. dy/dx= 5x^4 + 5(7-x)^4 * d/dx(7-x) = 5x^4+5(7-x)^4 * (0-1) = 5(x^4-(7-x)^4) 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 1972 views around the world You can reuse this answer Creative Commons License