How do you differentiate y=1/(x+ke^s)?

Apr 16, 2017

$y = - {\left(x + k {e}^{s}\right)}^{-} 2$

Explanation:

Rather than use quotient rule, rewrite the equation so that there's nothing in the denominator by raising everything to $- 1$:

$y = {\left(x + k {e}^{s}\right)}^{-} 1$

Now use the chain rule. I'm asssuming $k$ and $s$ are constants:

$y = - {\left(x + k {e}^{s}\right)}^{-} 2$