Solve 5x-2-1x+1

$$5 x - 2 - 1 x + 1$$

Evaluate

$$4x-1$$

Solution Steps

Combine 5x and -x to get 4x.

$$4x-2+1$$

Add -2 and 1 to get -1.

$$4x-1$$

Differentiate w.r.t. x

$$4$$

Steps Using Derivative Rule for Sum

Combine 5x and -x to get 4x.

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

Add -2 and 1 to get -1.

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

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}.

$$4x^{1-1}$$

Subtract 1 from 1.

$$4x^{0}$$

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

$$4\times 1$$

For any term t, t\times 1=t and 1t=t.

$$4$$