Solve a-a/3+a/5

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

Evaluate

$$\frac{13a}{15}$$

Solution Steps

Combine a and -\frac{a}{3} to get \frac{2}{3}a.

$$\frac{2}{3}a+\frac{a}{5}$$

Combine \frac{2}{3}a and \frac{a}{5} to get \frac{13}{15}a.

$$\frac{13}{15}a$$

Differentiate w.r.t. a

$$\frac{13}{15} = 0.8666666666666667$$

Steps Using Definition of a Derivative

Combine a and -\frac{a}{3} to get \frac{2}{3}a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{2}{3}a+\frac{a}{5})$$

Combine \frac{2}{3}a and \frac{a}{5} to get \frac{13}{15}a.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{13}{15}a)$$

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

$$\frac{13}{15}a^{1-1}$$

Subtract 1 from 1.

$$\frac{13}{15}a^{0}$$

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

$$\frac{13}{15}\times 1$$

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

$$\frac{13}{15}$$