Solve kkkk

$$k k k k$$

Evaluate

$$k^{4}$$

Solution Steps

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

$$k^{2}kk$$

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$k^{3}k$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

$$k^{4}$$

Differentiate w.r.t. k

$$4k^{3}$$

Steps Using Definition of a Derivative

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

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

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}k}(k^{3}k)$$

To multiply powers of the same base, add their exponents. Add 3 and 1 to get 4.

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

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

$$4k^{4-1}$$

Subtract 1 from 4.

$$4k^{3}$$