Calculus Examples

$f (1) = \frac{e^{x} x - e^{x}}{x^{2}}$

Step 1

Replace the variable $x$ with $1$ in the expression.

$f (1) = \frac{e^{1} (1) - e^{1}}{{(1)}^{2}}$

Step 2

Simplify the result.

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Step 2.1

Simplify the numerator.

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Step 2.1.1

Simplify.

$f (1) = \frac{e \cdot 1 - e}{1^{2}}$

Step 2.1.2

Multiply $e$ by $1$ .

$f (1) = \frac{e - e}{1^{2}}$

Step 2.1.3

Simplify.

$f (1) = \frac{e - e}{1^{2}}$

Step 2.1.4

Subtract $e$ from $e$ .

$f (1) = \frac{0}{1^{2}}$

Step 2.2

Simplify the expression.

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Step 2.2.1

One to any power is one.

$f (1) = \frac{0}{1}$

Step 2.2.2

Divide $0$ by $1$ .

$f (1) = 0$

Step 2.3

The final answer is $0$ .

$0$

Step 3