Calculus Examples

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

Step 1

Apply the distributive property.

$e^{x} \cdot 1 + e^{x} (- \frac{1}{e^{x}})$

Step 2

Simplify the expression.

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Step 2.1

Multiply $e^{x}$ by $1$ .

$e^{x} + e^{x} (- \frac{1}{e^{x}})$

Step 2.2

Rewrite using the commutative property of multiplication.

$e^{x} - e^{x} \frac{1}{e^{x}}$

Step 3

Cancel the common factor of $e^{x}$ .

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Step 3.1

Factor $e^{x}$ out of $- e^{x}$ .

$e^{x} + e^{x} \cdot - 1 \frac{1}{e^{x}}$

Step 3.2

Cancel the common factor.

$e^{x} + e^{x} \cdot - 1 \frac{1}{e^{x}}$

Step 3.3

Rewrite the expression.

$e^{x} - 1$