Solve 8N-80/3N

$$8 N - \frac { 80 } { 3 } N$$

Differentiate w.r.t. N

$$-\frac{56}{3} = -18\frac{2}{3} = -18.666666666666668$$

Steps Using Definition of a Derivative

Combine 8N and -\frac{80}{3}N to get -\frac{56}{3}N.

$$\frac{\mathrm{d}}{\mathrm{d}N}(-\frac{56}{3}N)$$

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

$$-\frac{56}{3}N^{1-1}$$

Subtract 1 from 1.

$$-\frac{56}{3}N^{0}$$

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

$$-\frac{56}{3}$$

Evaluate

$$-\frac{56N}{3}$$

Solution Steps

Combine 8N and -\frac{80}{3}N to get -\frac{56}{3}N.

$$-\frac{56}{3}N$$