Solve 8x/4xx

$$\frac { 8 x } { 4 x x }$$

Evaluate

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

Solution Steps

Multiply x and x to get x^{2}.

$$\frac{8x}{4x^{2}}$$

Cancel out 4x in both numerator and denominator.

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

Differentiate w.r.t. x

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

Solution Steps

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{8}{4x}x^{1-1})$$

Do the arithmetic.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{2}{x}x^{0})$$

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

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

The derivative of a constant term is 0.

$$0$$