Solve 0/3x^1-2x

$$\frac { 0 } { 3 x ^ { 1 } } - 2 x$$

Evaluate

$$-2x$$

Solution Steps

Calculate x to the power of 1 and get x.

$$\frac{0}{3x}-2x$$

Zero divided by any non-zero term gives zero.

$$0-2x$$

Anything plus zero gives itself.

$$-2x$$

Differentiate w.r.t. x

$$-2$$

Steps Using Definition of a Derivative

Calculate x to the power of 1 and get x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{0}{3x}-2x)$$

Zero divided by any non-zero term gives zero.

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

Anything plus zero gives itself.

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

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

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

Subtract 1 from 1.

$$-2x^{0}$$

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

$$-2$$