How do you differentiate #(5-x^2)(x^3-3x+3)#? Calculus Basic Differentiation Rules Summary of Differentiation Rules 1 Answer Truong-Son N. Jun 23, 2015 Just multiply it out and then use the Power Rule. #= 5x^3 - 15x + 15 - x^5 + 3x^3 - 3x^2# #f(x) = - x^5 + 8x^3 - 3x^2 - 15x + 15# #d/(dx)[f(x)] = -5x^4 + 24x^2 - 6x - 15# Answer link Related questions What is a summary of Differentiation Rules? What are the first three derivatives of #(xcos(x)-sin(x))/(x^2)#? How do you find the derivative of #(e^(2x) - e^(-2x))/(e^(2x) + e^(-2x))#? How do I find the derivative of #y= x arctan (2x) - (ln (1+4x^2))/4#? How do you find the derivative of #y = s/3 + 5s#? What is the second derivative of #(f * g)(x)# if f and g are functions such that #f'(x)=g(x)#... How do you calculate the derivative for #g(t)= 7/sqrtt#? Can you use a calculator to differentiate #f(x) = 3x^2 + 12#? What is the derivative of #ln(x)+ 3 ln(x) + 5/7x +(2/x)#? How do you find the formula for the derivative of #1/x#? See all questions in Summary of Differentiation Rules Impact of this question 1943 views around the world You can reuse this answer Creative Commons License