Calculus Examples

$f (x) = e^{\frac{x}{x}}$

Step 1

Cancel the common factor of $x$ .

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Step 1.1

Cancel the common factor.

$\frac{d}{d x} [e^{\frac{x}{x}}]$

Step 1.2

Rewrite the expression.

$\frac{d}{d x} [e^{1}]$

Step 2

Simplify.

$\frac{d}{d x} [e]$

Step 3

Since $e$ is constant with respect to $x$ , the derivative of $e$ with respect to $x$ is $0$ .

$0$