How do you find the derivative of #4-(x^2)sinx#? Calculus Differentiating Trigonometric Functions Derivative Rules for y=cos(x) and y=tan(x) 1 Answer Martin C. May 13, 2018 #-2xsin(x)-x^2cos(x)# Explanation: By using the product rule #(f(x)*g(x))'=f(x)'*g(x)+f(x)*g(x)'# #k(x)=4-x^2sin(x)# #k'(x)=0-((x^2)' * sin(x)+x^2*(sin(x))')# #k'(x)=-2xsin(x)-x^2cos(x)# Answer link Related questions What is the derivative of #y=cos(x)# ? What is the derivative of #y=tan(x)# ? How do you find the 108th derivative of #y=cos(x)# ? How do you find the derivative of #y=cos(x)# from first principle? How do you find the derivative of #y=cos(x^2)# ? How do you find the derivative of #y=e^x cos(x)# ? How do you find the derivative of #y=x^cos(x)#? How do you find the second derivative of #y=cos(x^2)# ? How do you find the 50th derivative of #y=cos(x)# ? How do you find the derivative of #y=cos(x^2)# ? See all questions in Derivative Rules for y=cos(x) and y=tan(x) Impact of this question 5283 views around the world You can reuse this answer Creative Commons License