Solve 4n*3n

$$4 n \times 3 n$$

Evaluate

$$12n^{2}$$

Solution Steps

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

$$4n^{2}\times 3$$

Multiply 4 and 3 to get 12.

$$12n^{2}$$

Differentiate w.r.t. n

$$24n$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}n}(4n^{2}\times 3)$$

Multiply 4 and 3 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}n}(12n^{2})$$

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

$$2\times 12n^{2-1}$$

Multiply 2 times 12.

$$24n^{2-1}$$

Subtract 1 from 2.

$$24n^{1}$$

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

$$24n$$