Solve 14-3x+x-5-4quad

$$14 - 3 x + x - 5 - 4 \quad$$

Evaluate

$$5-2x$$

Solution Steps

Combine -3x and x to get -2x.

$$14-2x-5-4$$

Subtract 5 from 14 to get 9.

$$9-2x-4$$

Subtract 4 from 9 to get 5.

$$5-2x$$

Differentiate w.r.t. x

$$-2$$

Steps Using Derivative Rule for Sum

Combine -3x and x to get -2x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(14-2x-5-4)$$

Subtract 5 from 14 to get 9.

$$\frac{\mathrm{d}}{\mathrm{d}x}(9-2x-4)$$

Subtract 4 from 9 to get 5.

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

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}.

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

Subtract 1 from 1.

$$-2x^{0}$$

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

$$-2$$