Solve 60g*5%

$$60 g \times 5 \%$$

Evaluate

$$3g$$

Solution Steps

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$60g\times \frac{1}{20}$$

Multiply 60 and \frac{1}{20} to get \frac{60}{20}.

$$\frac{60}{20}g$$

Divide 60 by 20 to get 3.

$$3g$$

Differentiate w.r.t. g

$$3$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{5}{100} to lowest terms by extracting and canceling out 5.

$$\frac{\mathrm{d}}{\mathrm{d}g}(60g\times \frac{1}{20})$$

Multiply 60 and \frac{1}{20} to get \frac{60}{20}.

$$\frac{\mathrm{d}}{\mathrm{d}g}(\frac{60}{20}g)$$

Divide 60 by 20 to get 3.

$$\frac{\mathrm{d}}{\mathrm{d}g}(3g)$$

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

$$3g^{1-1}$$

Subtract 1 from 1.

$$3g^{0}$$

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

$$3\times 1$$

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

$$3$$