Solve x/2^2-6

$$\frac{ x }{ { 2 }^{ 2 } -6 }$$

Evaluate

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

Solution Steps

Calculate 2 to the power of 2 and get 4.

$$\frac{x}{4-6}$$

Subtract 6 from 4 to get -2.

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

Differentiate w.r.t. x

$$-\frac{1}{2} = -0.5$$

Steps Using Definition of a Derivative

Calculate 2 to the power of 2 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{4-6})$$

Subtract 6 from 4 to get -2.

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

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

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

Subtract 1 from 1.

$$-\frac{1}{2}x^{0}$$

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

$$-\frac{1}{2}$$