Differentiate y=x(e^x)

Write as y=uv u=x v=ex

du/dx=1 dv/dx=ex 

Using the product rule, dy/dx=vdu/dx + udv/dx

So dy/dx=ex(1)+x(ex)=ex(1+x)

IR

Related Maths A Level answers

All answers ▸

a curve is defined by y=2x^2 - 10x +7. point (3, -5) lies on this curve. find the equation of the normal to this curve


Find ∫ (2x^5 - 1/(4x^3)-5) dx. giving each term in its simplest form.


Differentiate cos(2x)/(x) with respect to x


Write down three linear factors of f(x) such that the curve of f(x) crosses the x axis at x=0.5,3,4. Hence find the equation of the curve in the form y = 2(x^3) + a(x^2) + bx + c.