Find the equation of an exponential function knowing that its gradient=y coordinate.
$f(x)=k^x$ What values would have to take $k$?
The $y$ coordinate has to be equal to the gradient, e.g. in $y=1$, the gradient has to be $1$.
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Do you mean $y'(x)=y(x)$ ? – Nov 13 '16 at 18:09
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@YvesDaoust Yes, I added some information to try to make it clearer. – Anne Nov 13 '16 at 18:19
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You mean like an $e^x$ function? Because if you take the derivative of it and substitute in an x you get the y-coordinate of the original function. – Jose M Serra Nov 13 '16 at 21:24