Solve 3x(-1/3)-4*1/4

$$3 x ( - \frac { 1 } { 3 } ) - 4 \times \frac { 1 } { 4 }$$

Evaluate

$$-x-1$$

Solution Steps

Cancel out 3 and 3.

$$-x-4\times \frac{1}{4}$$

Cancel out 4 and 4.

$$-x-1$$

Differentiate w.r.t. x

$$-1$$

Steps Using Derivative Rule for Sum

Cancel out 3 and 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-x-4\times \frac{1}{4})$$

Cancel out 4 and 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-x-1)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

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

Subtract 1 from 1.

$$-x^{0}$$

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

$$-1$$