Solve 12x+28div4x

$$12 x + 28 \div 4 x$$

Evaluate

$$19x$$

Solution Steps

Divide 28 by 4 to get 7.

$$12x+7x$$

Combine 12x and 7x to get 19x.

$$19x$$

Differentiate w.r.t. x

$$19$$

Steps Using Definition of a Derivative

Divide 28 by 4 to get 7.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x+7x)$$

Combine 12x and 7x to get 19x.

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

The derivative of ax^{n} is nax^{n-1}.

$$19x^{1-1}$$

Subtract 1 from 1.

$$19x^{0}$$

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

$$19\times 1$$

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

$$19$$