Solve 3x-1*3-2x*-1

$$3x-1 \times 3-2x \times -1$$

Evaluate

$$5x-3$$

Solution Steps

Multiply 1 and 3 to get 3.

$$3x-3-2x\left(-1\right)$$

Multiply 2 and -1 to get -2.

$$3x-3-\left(-2x\right)$$

The opposite of -2x is 2x.

$$3x-3+2x$$

Combine 3x and 2x to get 5x.

$$5x-3$$

Differentiate w.r.t. x

$$5$$

Steps Using Derivative Rule for Sum

Multiply 1 and 3 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}x}(3x-3-2x\left(-1\right))$$

Multiply 2 and -1 to get -2.

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

The opposite of -2x is 2x.

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

Combine 3x and 2x to get 5x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(5x-3)$$

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}.

$$5x^{1-1}$$

Subtract 1 from 1.

$$5x^{0}$$

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

$$5\times 1$$

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

$$5$$