Solve 12x+6-2x+17+4x=

$$12 x + 6 - 2 x + 17 + 4 x =$$

Evaluate

$$14x+23$$

Solution Steps

Combine 12x and -2x to get 10x.

$$10x+6+17+4x$$

Add 6 and 17 to get 23.

$$10x+23+4x$$

Combine 10x and 4x to get 14x.

$$14x+23$$

Differentiate w.r.t. x

$$14$$

Steps Using Derivative Rule for Sum

Combine 12x and -2x to get 10x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(10x+6+17+4x)$$

Add 6 and 17 to get 23.

$$\frac{\mathrm{d}}{\mathrm{d}x}(10x+23+4x)$$

Combine 10x and 4x to get 14x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(14x+23)$$

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}.

$$14x^{1-1}$$

Subtract 1 from 1.

$$14x^{0}$$

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

$$14\times 1$$

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

$$14$$