Solve 12x/frac{1{2}}

$$\frac { 12 x } { \frac { 1 } { 2 } }$$

Evaluate

$$24x$$

Solution Steps

Divide 12x by \frac{1}{2} by multiplying 12x by the reciprocal of \frac{1}{2}.

$$12x\times 2$$

Multiply 12 and 2 to get 24.

$$24x$$

Differentiate w.r.t. x

$$24$$

Steps Using Definition of a Derivative

Divide 12x by \frac{1}{2} by multiplying 12x by the reciprocal of \frac{1}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(12x\times 2)$$

Multiply 12 and 2 to get 24.

$$\frac{\mathrm{d}}{\mathrm{d}x}(24x)$$

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

$$24x^{1-1}$$

Subtract 1 from 1.

$$24x^{0}$$

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

$$24\times 1$$

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

$$24$$