Solve 2*170*1*23.7/N

$$\frac { 2 \times 170 \times 1 \times 23.7 } { N }$$

Evaluate

$$\frac{8058}{N}$$

Solution Steps

Multiply 2 and 170 to get 340.

$$\frac{340\times 1\times 23.7}{N}$$

Multiply 340 and 1 to get 340.

$$\frac{340\times 23.7}{N}$$

Multiply 340 and 23.7 to get 8058.

$$\frac{8058}{N}$$

Differentiate w.r.t. N

$$-\frac{8058}{N^{2}}$$

Steps Using Definition of a Derivative

Multiply 2 and 170 to get 340.

$$\frac{\mathrm{d}}{\mathrm{d}N}(\frac{340\times 1\times 23.7}{N})$$

Multiply 340 and 1 to get 340.

$$\frac{\mathrm{d}}{\mathrm{d}N}(\frac{340\times 23.7}{N})$$

Multiply 340 and 23.7 to get 8058.

$$\frac{\mathrm{d}}{\mathrm{d}N}(\frac{8058}{N})$$

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

$$-8058N^{-1-1}$$

Subtract 1 from -1.

$$-8058N^{-2}$$