Solve 1/24x

$$\frac { 1 } { 2 } 4 x$$

Evaluate

$$2x$$

Solution Steps

Multiply \frac{1}{2} and 4 to get \frac{4}{2}.

$$\frac{4}{2}x$$

Divide 4 by 2 to get 2.

$$2x$$

Differentiate w.r.t. x

$$2$$

Steps Using Definition of a Derivative

Multiply \frac{1}{2} and 4 to get \frac{4}{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{4}{2}x)$$

Divide 4 by 2 to get 2.

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

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

$$2x^{1-1}$$

Subtract 1 from 1.

$$2x^{0}$$

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

$$2\times 1$$

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

$$2$$