Solve 2*2n*7

$$2 \cdot 2n \times 7$$

Evaluate

$$28n$$

Solution Steps

Multiply 2 and 2 to get 4.

$$4n\times 7$$

Multiply 4 and 7 to get 28.

$$28n$$

Differentiate w.r.t. n

$$28$$

Steps Using Definition of a Derivative

Multiply 2 and 2 to get 4.

$$\frac{\mathrm{d}}{\mathrm{d}n}(4n\times 7)$$

Multiply 4 and 7 to get 28.

$$\frac{\mathrm{d}}{\mathrm{d}n}(28n)$$

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

$$28n^{1-1}$$

Subtract 1 from 1.

$$28n^{0}$$

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

$$28\times 1$$

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

$$28$$