Solve d/xdx^2

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

Evaluate

$$x$$

Solution Steps

Cancel out d in both numerator and denominator.

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

Express \frac{1}{x}x^{2} as a single fraction.

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

Cancel out x in both numerator and denominator.

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

Cancel out d in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{1}{x}x^{2})$$

Express \frac{1}{x}x^{2} as a single fraction.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x^{2}}{x})$$

Cancel out x 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.

$$1$$