Question

Find dy/dx of y=6xe^x-6e^x

Answer 1

Let's find the derivative:

`\begin{gathered} (dy)/(dx)=(d)/(dx)(6xe^x-6e^x) \\ =6(d)/(dx)(xe^x)-6(d)/(dx)e^x \\ =6\lbrack x(d)/(dx)e^x+e^x(d)/(dx)x\rbrack-6e^x \\ =6(xe^x+e^x)-6e^x \\ =6xe^x+6e^x-6e^x \\ =6xe^x \end{gathered}`

Therefore:

`(dy)/(dx)=6xe^x`