Solve a/5+a/3

$$\frac { a } { 5 } + \frac { a } { 3 }$$

Differentiate w.r.t. a

$$\frac{8}{15} = 0.5333333333333333$$

Steps Using Definition of a Derivative

Combine \frac{a}{5} and \frac{a}{3} to get \frac{8}{15}a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{8}{15}a)$$

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

$$\frac{8}{15}a^{1-1}$$

Subtract 1 from 1.

$$\frac{8}{15}a^{0}$$

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

$$\frac{8}{15}\times 1$$

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

$$\frac{8}{15}$$

Evaluate

$$\frac{8a}{15}$$

Solution Steps

Combine \frac{a}{5} and \frac{a}{3} to get \frac{8}{15}a.

$$\frac{8}{15}a$$