Evaluate Using the Given Value (d^2)/(dx^2)x^12 , x=-1

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

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

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

Simplify the expression.

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

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

Multiply $d$ by $1$ .

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

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

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

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

Cancel the common factors.

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

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

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

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

Cancel the common factor.

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

Rewrite the expression.

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

Divide $d$ by $1$ .

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

Simplify the expression.

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

$d \cdot 1$

Multiply $d$ by $1$ .

$d$