Solve 2*0x-10x^2=

$$2 \cdot 0 x - 10 x ^ { 2 } =$$

Evaluate

$$-10x^{2}$$

Solution Steps

Multiply 2 and 0 to get 0.

$$0x-10x^{2}$$

Anything times zero gives zero.

$$0-10x^{2}$$

Anything plus zero gives itself.

$$-10x^{2}$$

Differentiate w.r.t. x

$$-20x$$

Steps Using Definition of a Derivative

Multiply 2 and 0 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0x-10x^{2})$$

Anything times zero gives zero.

$$\frac{\mathrm{d}}{\mathrm{d}x}(0-10x^{2})$$

Anything plus zero gives itself.

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

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.

$$-20x$$