Solve d^2x^2/d^2x

$$\frac { d ^ { 2 } x ^ { 2 } } { d ^ { 2 } x }$$

Evaluate

$$x$$

Steps Using Quotient of Powers Property

Use the rules of exponents to simplify the expression.

$$\frac{d^{2}x^{2}}{d^{2}x^{1}}$$

To divide powers of the same base, subtract the denominator's exponent from the numerator's exponent.

$$d^{2-2}x^{2-1}$$

Subtract 2 from 2.

$$d^{0}x^{2-1}$$

Subtract 1 from 2.

$$d^{0}x^{1}$$

For any number a except 0, a^{0}=1.

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

Cancel out xd^{2} in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x)$$

The derivative of ax^{n} is nax^{n-1}.

$$x^{1-1}$$

Subtract 1 from 1.

$$x^{0}$$

For any term t except 0, t^{0}=1.

$$1$$