Solve 3-x-4-5

$$3-x-4-5$$

Evaluate

$$-x-6$$

Solution Steps

Subtract 4 from 3 to get -1.

$$-1-x-5$$

Subtract 5 from -1 to get -6.

$$-6-x$$

Differentiate w.r.t. x

$$-1$$

Steps Using Derivative Rule for Sum

Subtract 4 from 3 to get -1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-1-x-5)$$

Subtract 5 from -1 to get -6.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-6-x)$$

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.

$$-1$$