Question

How do I derive (posted in the thread) ...

Answer 1

\[y=\log_5(xe^x)\]

Answer 2

pliz guide :)

Answer 3

What exactly do you mean by 'derive'?

Answer 4

This is an explicit differentiation question.
I want the derivative, dy/dx

Answer 5

\[y=\log_5(xe^x)=log_5x+log_5e^x=log_5x+xlog_5e\]
then, take derivative term by term

Answer 6

1 / xlog5 + 1 / log5 =
1 / xlog5 + x / xlog5 =
(x + 1) / (xlog5).

Answer 7

shouldnt it be (x+1)/(xln5)?