Solve x+2+3+4+5-6

$$x + 2 + 3 + 4 + 5 - 6$$

Evaluate

$$x+8$$

Solution Steps

Add 2 and 3 to get 5.

$$x+5+4+5-6$$

Add 5 and 4 to get 9.

$$x+9+5-6$$

Add 9 and 5 to get 14.

$$x+14-6$$

Subtract 6 from 14 to get 8.

$$x+8$$

Differentiate w.r.t. x

$$1$$

Steps Using Derivative Rule for Sum

Add 2 and 3 to get 5.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+5+4+5-6)$$

Add 5 and 4 to get 9.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+9+5-6)$$

Add 9 and 5 to get 14.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+14-6)$$

Subtract 6 from 14 to get 8.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+8)$$

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.

$$1$$