Solve 14x-2+3x-5

$$14 x - 2 + 3 x - 5$$

Evaluate

$$17x-7$$

Solution Steps

Combine 14x and 3x to get 17x.

$$17x-2-5$$

Subtract 5 from -2 to get -7.

$$17x-7$$

Differentiate w.r.t. x

$$17$$

Steps Using Derivative Rule for Sum

Combine 14x and 3x to get 17x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(17x-2-5)$$

Subtract 5 from -2 to get -7.

$$\frac{\mathrm{d}}{\mathrm{d}x}(17x-7)$$

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}.

$$17x^{1-1}$$

Subtract 1 from 1.

$$17x^{0}$$

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

$$17\times 1$$

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

$$17$$