Solve =5*12N/10:1N/100g

$$= 5 \cdot \frac { 12 N } { 10 } : \frac { 1 N } { 100 g }$$

Evaluate

$$600g$$

Solution Steps

Divide 12N by 10 to get \frac{6}{5}N.

$$\frac{5\times \frac{6}{5}N}{\frac{1N}{100g}}$$

Cancel out 5 and 5.

$$\frac{6N}{\frac{1N}{100g}}$$

Cancel out 1 in both numerator and denominator.

$$\frac{6N}{\frac{N}{100g}}$$

Divide 6N by \frac{N}{100g} by multiplying 6N by the reciprocal of \frac{N}{100g}.

$$\frac{6N\times 100g}{N}$$

Cancel out N in both numerator and denominator.

$$6\times 100g$$

Multiply 6 and 100 to get 600.

$$600g$$

Differentiate w.r.t. g

$$600$$

Steps Using Definition of a Derivative

Divide 12N by 10 to get \frac{6}{5}N.

$$\frac{\mathrm{d}}{\mathrm{d}g}(\frac{5\times \frac{6}{5}N}{\frac{1N}{100g}})$$

Cancel out 5 and 5.

$$\frac{\mathrm{d}}{\mathrm{d}g}(\frac{6N}{\frac{1N}{100g}})$$

Cancel out 1 in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}g}(\frac{6N}{\frac{N}{100g}})$$

Divide 6N by \frac{N}{100g} by multiplying 6N by the reciprocal of \frac{N}{100g}.

$$\frac{\mathrm{d}}{\mathrm{d}g}(\frac{6N\times 100g}{N})$$

Cancel out N in both numerator and denominator.

$$\frac{\mathrm{d}}{\mathrm{d}g}(6\times 100g)$$

Multiply 6 and 100 to get 600.

$$\frac{\mathrm{d}}{\mathrm{d}g}(600g)$$

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

$$600g^{1-1}$$

Subtract 1 from 1.

$$600g^{0}$$

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

$$600\times 1$$

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

$$600$$