Solve 2k*2k

$$2 k \times 2 k$$

Evaluate

$$4k^{2}$$

Solution Steps

Multiply k and k to get k^{2}.

$$2k^{2}\times 2$$

Multiply 2 and 2 to get 4.

$$4k^{2}$$

Differentiate w.r.t. k

$$8k$$

Steps Using Definition of a Derivative

Multiply k and k to get k^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}k}(2k^{2}\times 2)$$

Multiply 2 and 2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}k}(4k^{2})$$

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

$$2\times 4k^{2-1}$$

Multiply 2 times 4.

$$8k^{2-1}$$

Subtract 1 from 2.

$$8k^{1}$$

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

$$8k$$