Solve 0.25x*0.25x

$$0.25x \times 0.25x$$

Evaluate

$$\frac{x^{2}}{16}$$

Solution Steps

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

$$0.25x^{2}\times 0.25$$

Multiply 0.25 and 0.25 to get 0.0625.

$$0.0625x^{2}$$

Differentiate w.r.t. x

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

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(0.25x^{2}\times 0.25)$$

Multiply 0.25 and 0.25 to get 0.0625.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0.0625x^{2})$$

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

$$2\times 0.0625x^{2-1}$$

Multiply 2 times 0.0625.

$$0.125x^{2-1}$$

Subtract 1 from 2.

$$0.125x^{1}$$

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

$$0.125x$$