Solve x+(-20)+(11)+(16)+110

$$x + ( - 20 ) + ( 11 ) + ( 16 ) + 110$$

Evaluate

$$x+117$$

Solution Steps

Add -20 and 11 to get -9.

$$x-9+16+110$$

Add -9 and 16 to get 7.

$$x+7+110$$

Add 7 and 110 to get 117.

$$x+117$$

Differentiate w.r.t. x

$$1$$

Steps Using Derivative Rule for Sum

Add -20 and 11 to get -9.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-9+16+110)$$

Add -9 and 16 to get 7.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+7+110)$$

Add 7 and 110 to get 117.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+117)$$

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.

$$1$$