Solve 1*x-2+x+2*1

$$1 \times x-2+x+2 \times 1$$

Evaluate

$$2x$$

Solution Steps

Combine 1x and x to get 2x.

$$2x-2+2\times 1$$

Multiply 2 and 1 to get 2.

$$2x-2+2$$

Add -2 and 2 to get 0.

$$2x$$

Differentiate w.r.t. x

$$2$$

Steps Using Definition of a Derivative

Combine 1x and x to get 2x.

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

Multiply 2 and 1 to get 2.

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

Add -2 and 2 to get 0.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2x)$$

The derivative of ax^{n} is nax^{n-1}.

$$2x^{1-1}$$

Subtract 1 from 1.

$$2x^{0}$$

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

$$2\times 1$$

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

$$2$$