Differentiate (x^2)*(e^x) using product rule

Product rule: d/dx[f(x)g(x)]= f(x)d/dx[g(x)] + g(x)d/dx[f(x)]Let f(x)=x^2 and g(x)=e^xf'(x) = 2x and g'(x) = e^x Therefore,The derivative of (x^2)(e^x) = 2x(e^x) +(x^2)(e^x)

JB

Related Maths GCSE answers

All answers ▸

Tommy, Anna and Jacob all have 40 sweets. they decide to split the sweets between each other in the ratio 1:4:5. Calculate how many sweets each get, rounding down your answer where necessary.


Write 120 as a product of its prime factor


Solve algebraically the simultaneous equations x^2 +y^2 =25, y – 3x = 13


You are given two equations: 3y-2x=11 and y+x=12. By solving simultaneously, what is the value of x and the value of y.