Solve 5+x-4x-1

$$5 + x - 4 x - 1$$

Evaluate

$$4-3x$$

Solution Steps

Combine x and -4x to get -3x.

$$5-3x-1$$

Subtract 1 from 5 to get 4.

$$4-3x$$

Differentiate w.r.t. x

$$-3$$

Steps Using Derivative Rule for Sum

Combine x and -4x to get -3x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5-3x-1)$$

Subtract 1 from 5 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}x}(4-3x)$$

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}.

$$-3x^{1-1}$$

Subtract 1 from 1.

$$-3x^{0}$$

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

$$-3$$