Question

solving the derivative of

Answer 1

\[\frac{ 1-(e^x \times x) }{ x+e^x }\]

Answer 2

I first used the QUOTIENT RULE. After that I used the product rule for where it stipulates in the quotient formula to find the derivative of \[e^x \times x\]

Answer 3

\[\frac{ (x+e^x) \times( \frac{ d }{ dx }[1-e^x.x]) - (\frac{ d }{ dx }[x+e^x]) \times(1-e^x.x) }{ (x+e^x)^2 }\]

Answer 4

so its correct go on

Answer 5

give me 2 minutes please. typing out working

Answer 6

\[(x+e^x)\left\{ (\frac{ d }{ dx }-e^x).x+(\frac{ d }{ dx }x)(-e^x.x)\right\} - (e^x+1)(1-e^x.x)\]

Answer 7

where the braces are, i implemented the product rule to derive: \[\frac{ d }{ dx }(1-e^x.x)\]

Answer 8

so its solved