Solve (4a)*(1/2)=

$$( 4 a ) \cdot ( \frac { 1 } { 2 } ) =$$

Evaluate

$$2a$$

Solution Steps

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

$$\frac{4}{2}a$$

Divide 4 by 2 to get 2.

$$2a$$

Differentiate w.r.t. a

$$2$$

Steps Using Definition of a Derivative

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

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

Divide 4 by 2 to get 2.

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

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

$$2a^{1-1}$$

Subtract 1 from 1.

$$2a^{0}$$

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

$$2\times 1$$

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

$$2$$