Practice problem
Find the derivative. f(x)=x3e3xf(x)=x^3e^{3x}f(x)=x3e3x
f′(x)=3x2e3x(x+1)f'(x)=3x^2e^{3x}(x+1)f′(x)=3x2e3x(x+1)
f′(x)=3x2e2x(x2+ex)f'(x)=3x^2e^{2x}(x^2+e^x)f′(x)=3x2e2x(x2+ex)
f′(x)=3x2e3x(x+3)f'(x)=3x^2e^{3x}(x+3)f′(x)=3x2e3x(x+3)
f′(x)=3x4e2xf'(x)=3x^4e^{2x}f′(x)=3x4e2x
Type a concept, like “slope” or “photosynthesis”.