Solve {l}{10div4}{*a}

$$\left. \begin{array} { l } { 10 \div 4 } \\ { \times a } \end{array} \right.$$

Differentiate w.r.t. a

$$\frac{5}{2} = 2\frac{1}{2} = 2.5$$

Steps Using Definition of a Derivative

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

$$\frac{5}{2}a^{1-1}$$

Subtract 1 from 1.

$$\frac{5}{2}a^{0}$$

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

$$\frac{5}{2}\times 1$$

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

$$\frac{5}{2}$$

Evaluate

$$\frac{5a}{2}$$

Solution Steps

Reduce the fraction \frac{10}{4} to lowest terms by extracting and canceling out 2.

$$\frac{5}{2}a$$