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Math Help - Derivative with e

  1. #1
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    Derivative with e

    Fin dy/dx

    y=\frac{200}{1+\varepsilon^{5-t}}

    That's e^(5-t) I'm working to fix the Latex
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  2. #2
    Senior Member DivideBy0's Avatar
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    Quote Originally Posted by Truthbetold View Post
    Fin dy/dx

    y=\frac{200}{1+\varepsilon^{5-t}}

    That's e^(5-t) I'm working to fix the Latex
    \frac{\,dy}{\,dx} =0...

    But:

    \frac{\,dy}{\,dt} = \frac{(1+e^{5-t})\frac{d}{dt}(200)-200\frac{d}{dt}(1+e^{5-t})}{(1+e^{5-t})^2}

    =\frac{(0)-200(-e^{5-t})}{(1+e^{5-t})^2}

    =\frac{200e^{5-t}}{(1+e^{5-t})^2}
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