Solve 2g/6+4g/6

$$\frac { 2 g } { 6 } + \frac { 4 g } { 6 }$$

Evaluate

$$g$$

Solution Steps

Divide 2g by 6 to get \frac{1}{3}g.

$$\frac{1}{3}g+\frac{4g}{6}$$

Divide 4g by 6 to get \frac{2}{3}g.

$$\frac{1}{3}g+\frac{2}{3}g$$

Combine \frac{1}{3}g and \frac{2}{3}g to get g.

$$g$$

Differentiate w.r.t. g

$$1$$

Steps Using Definition of a Derivative

Divide 2g by 6 to get \frac{1}{3}g.

$$\frac{\mathrm{d}}{\mathrm{d}g}(\frac{1}{3}g+\frac{4g}{6})$$

Divide 4g by 6 to get \frac{2}{3}g.

$$\frac{\mathrm{d}}{\mathrm{d}g}(\frac{1}{3}g+\frac{2}{3}g)$$

Combine \frac{1}{3}g and \frac{2}{3}g to get g.

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

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

$$g^{1-1}$$

Subtract 1 from 1.

$$g^{0}$$

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

$$1$$