Solve 5x-11+-9+20x-1-1

$$5 x - 11 + - 9 + 20 x - 1 - 1$$

Evaluate

$$25x-22$$

Solution Steps

Subtract 9 from -11 to get -20.

$$5x-20+20x-1-1$$

Combine 5x and 20x to get 25x.

$$25x-20-1-1$$

Subtract 1 from -20 to get -21.

$$25x-21-1$$

Subtract 1 from -21 to get -22.

$$25x-22$$

Differentiate w.r.t. x

$$25$$

Steps Using Derivative Rule for Sum

Subtract 9 from -11 to get -20.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x-20+20x-1-1)$$

Combine 5x and 20x to get 25x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(25x-20-1-1)$$

Subtract 1 from -20 to get -21.

$$\frac{\mathrm{d}}{\mathrm{d}x}(25x-21-1)$$

Subtract 1 from -21 to get -22.

$$\frac{\mathrm{d}}{\mathrm{d}x}(25x-22)$$

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}.

$$25x^{1-1}$$

Subtract 1 from 1.

$$25x^{0}$$

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

$$25\times 1$$

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

$$25$$