Solve 2x-5-4-3x

$$2 x - 5 - 4 - 3 x$$

Evaluate

$$-x-9$$

Solution Steps

Subtract 4 from -5 to get -9.

$$2x-9-3x$$

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

$$-x-9$$

Differentiate w.r.t. x

$$-1$$

Steps Using Derivative Rule for Sum

Subtract 4 from -5 to get -9.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x-9-3x)$$

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

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

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.

$$-1$$