Solve -2x*5x

$$- 2 x \times 5 x$$

Evaluate

$$-10x^{2}$$

Solution Steps

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

$$-2x^{2}\times 5$$

Multiply -2 and 5 to get -10.

$$-10x^{2}$$

Differentiate w.r.t. x

$$-20x$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x^{2}\times 5)$$

Multiply -2 and 5 to get -10.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-10x^{2})$$

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

$$2\left(-10\right)x^{2-1}$$

Multiply 2 times -10.

$$-20x^{2-1}$$

Subtract 1 from 2.

$$-20x^{1}$$

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

$$-20x$$