Solve 1/2sqrt{16}a^2

$$\frac { 1 } { 2 } \sqrt { 16 } a ^ { 2 }$$

Evaluate

$$2a^{2}$$

Solution Steps

Calculate the square root of 16 and get 4.

$$\frac{1}{2}\times 4a^{2}$$

Multiply \frac{1}{2} and 4 to get 2.

$$2a^{2}$$

Differentiate w.r.t. a

$$4a$$

Steps Using Definition of a Derivative

Calculate the square root of 16 and get 4.

$$\frac{\mathrm{d}}{\mathrm{d}a}(\frac{1}{2}\times 4a^{2})$$

Multiply \frac{1}{2} and 4 to get 2.

$$\frac{\mathrm{d}}{\mathrm{d}a}(2a^{2})$$

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

$$2\times 2a^{2-1}$$

Multiply 2 times 2.

$$4a^{2-1}$$

Subtract 1 from 2.

$$4a^{1}$$

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

$$4a$$