Algebra Examples

$\frac{d^{2}}{d x^{2}} x^{12}$ , $x = - 1$

Step 1

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

$\frac{d^{2}}{d {(- 1)}^{2}} \cdot {(- 1)}^{12}$

Step 2

Simplify the expression.

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Step 2.1

Raise $- 1$ to the power of $2$ .

$\frac{d^{2}}{d \cdot 1} \cdot {(- 1)}^{12}$

Step 2.2

Multiply $d$ by $1$ .

$\frac{d^{2}}{d} \cdot {(- 1)}^{12}$

$\frac{d^{2}}{d} \cdot {(- 1)}^{12}$

Step 3

Cancel the common factor of $d^{2}$ and $d$ .

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Step 3.1

Factor $d$ out of $d^{2}$ .

$\frac{d \cdot d}{d} \cdot {(- 1)}^{12}$

Step 3.2

Cancel the common factors.

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Step 3.2.1

Raise $d$ to the power of $1$ .

$\frac{d \cdot d}{d^{1}} \cdot {(- 1)}^{12}$

Step 3.2.2

Factor $d$ out of $d^{1}$ .

$\frac{d \cdot d}{d \cdot 1} \cdot {(- 1)}^{12}$

Step 3.2.3

Cancel the common factor.

$\frac{d \cdot d}{d \cdot 1} \cdot {(- 1)}^{12}$

Step 3.2.4

Rewrite the expression.

$\frac{d}{1} \cdot {(- 1)}^{12}$

Step 3.2.5

Divide $d$ by $1$ .

$d \cdot {(- 1)}^{12}$

$d \cdot {(- 1)}^{12}$

$d \cdot {(- 1)}^{12}$

Step 4

Simplify the expression.

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Step 4.1

Raise $- 1$ to the power of $12$ .

$d \cdot 1$

Step 4.2

Multiply $d$ by $1$ .

$d$

$d$

$[\begin{array}{c} x^{2} & \frac{1}{2} \\ \sqrt{π} & \int x d x \end{array}]$