Solve 14x-14+9x-5

$$14 x - 14 + 9 x - 5$$

Evaluate

$$23x-19$$

Solution Steps

Combine 14x and 9x to get 23x.

$$23x-14-5$$

Subtract 5 from -14 to get -19.

$$23x-19$$

Differentiate w.r.t. x

$$23$$

Steps Using Derivative Rule for Sum

Combine 14x and 9x to get 23x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(23x-14-5)$$

Subtract 5 from -14 to get -19.

$$\frac{\mathrm{d}}{\mathrm{d}x}(23x-19)$$

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}.

$$23x^{1-1}$$

Subtract 1 from 1.

$$23x^{0}$$

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

$$23\times 1$$

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

$$23$$