Solve -5x+3x-4-1=

$$- 5 x + 3 x - 4 - 1 =$$

Evaluate

$$-2x-5$$

Solution Steps

Combine -5x and 3x to get -2x.

$$-2x-4-1$$

Subtract 1 from -4 to get -5.

$$-2x-5$$

Differentiate w.r.t. x

$$-2$$

Steps Using Derivative Rule for Sum

Combine -5x and 3x to get -2x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-2x-4-1)$$

Subtract 1 from -4 to get -5.

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

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.

$$-2$$