Solve x+1-2-10+2

$$x + 1 - 2 - 10 + 2$$

Evaluate

$$x-9$$

Solution Steps

Subtract 2 from 1 to get -1.

$$x-1-10+2$$

Subtract 10 from -1 to get -11.

$$x-11+2$$

Add -11 and 2 to get -9.

$$x-9$$

Differentiate w.r.t. x

$$1$$

Steps Using Derivative Rule for Sum

Subtract 2 from 1 to get -1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-1-10+2)$$

Subtract 10 from -1 to get -11.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x-11+2)$$

Add -11 and 2 to get -9.

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

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.

$$1$$