Understanding the Difference Between Inverse and Reciprocal

$x = e^y$ (correct)

$x = rac{1}{y}$

$y = rac{1}{x}$

$y = e^x$

$rac{dy}{dx} = e^x$ (correct)

$rac{dy}{dx} = rac{1}{x}$

$rac{dy}{dx} = 2e^x$

$rac{dy}{dx} = x^2$

It swaps $x$ and $y$ in the original equation (correct)

It adds $x$ and $y$ in the original equation

It multiplies $x$ and $y$ in the original equation

It subtracts $x$ from $y$ in the original equation

<p>$rac{dy}{dx} = rac{1}{x}$</p> Signup and view all the answers

<p>It is the reciprocal of the original function</p> Signup and view all the answers