Solve 27(1/3a)

$$27 ( 1 / 3 a )$$

Evaluate

$$9a$$

Solution Steps

Multiply 27 and \frac{1}{3} to get \frac{27}{3}.

$$\frac{27}{3}a$$

Divide 27 by 3 to get 9.

$$9a$$

Differentiate w.r.t. a

$$9$$

Steps Using Definition of a Derivative

Multiply 27 and \frac{1}{3} to get \frac{27}{3}.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{27}{3}a)$$

Divide 27 by 3 to get 9.

$$\frac{\mathrm{d}}{\mathrm{d}a}(9a)$$

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

$$9a^{1-1}$$

Subtract 1 from 1.

$$9a^{0}$$

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

$$9\times 1$$

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

$$9$$