Solve 0.015x*-x

$$0.015x \times -x$$

Evaluate

$$-\frac{3x^{2}}{200}$$

Solution Steps

Multiply 0.015 and -1 to get -0.015.

$$-0.015xx$$

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

$$-0.015x^{2}$$

Differentiate w.r.t. x

$$-\frac{3x}{100}$$

Steps Using Definition of a Derivative

Multiply 0.015 and -1 to get -0.015.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-0.015xx)$$

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(-0.015x^{2})$$

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

$$2\left(-0.015\right)x^{2-1}$$

Multiply 2 times -0.015.

$$-0.03x^{2-1}$$

Subtract 1 from 2.

$$-0.03x^{1}$$

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

$$-0.03x$$