Solve 3(x+1)-2x-3

$$3(x+1)-2x-3$$

Evaluate

$$x$$

Solution Steps

Use the distributive property to multiply 3 by x+1.

$$3x+3-2x-3$$

Combine 3x and -2x to get x.

$$x+3-3$$

Subtract 3 from 3 to get 0.

$$x$$

Differentiate w.r.t. x

$$1$$

Steps Using Definition of a Derivative

Use the distributive property to multiply 3 by x+1.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x+3-2x-3)$$

Combine 3x and -2x to get x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(x+3-3)$$

Subtract 3 from 3 to get 0.

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

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.

$$1$$