Solve f(x)=2a2/3

$$f ( x ) = 2 a \frac { 2 } { 3 }$$

Evaluate

$$\frac{4a}{3}$$

Solution Steps

Express 2\times \frac{2}{3} as a single fraction.

$$\frac{2\times 2}{3}a$$

Multiply 2 and 2 to get 4.

$$\frac{4}{3}a$$

Differentiate w.r.t. a

$$\frac{4}{3} = 1\frac{1}{3} = 1.3333333333333333$$

Steps Using Definition of a Derivative

Express 2\times \frac{2}{3} as a single fraction.

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

Multiply 2 and 2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{4}{3}a)$$

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

$$\frac{4}{3}a^{1-1}$$

Subtract 1 from 1.

$$\frac{4}{3}a^{0}$$

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

$$\frac{4}{3}\times 1$$

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

$$\frac{4}{3}$$