Solve 7*n*(-2)*n

$$7 \cdot n \cdot ( - 2 ) \cdot n$$

Evaluate

$$-14n^{2}$$

Solution Steps

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

$$7n^{2}\left(-2\right)$$

Multiply 7 and -2 to get -14.

$$-14n^{2}$$

Differentiate w.r.t. n

$$-28n$$

Steps Using Definition of a Derivative

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

$$\frac{\mathrm{d}}{\mathrm{d}n}(7n^{2}\left(-2\right))$$

Multiply 7 and -2 to get -14.

$$\frac{\mathrm{d}}{\mathrm{d}n}(-14n^{2})$$

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

$$2\left(-14\right)n^{2-1}$$

Multiply 2 times -14.

$$-28n^{2-1}$$

Subtract 1 from 2.

$$-28n^{1}$$

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

$$-28n$$