Solve 1600g:400g

$$1600 g : 400 g$$

Evaluate

$$4g^{2}$$

Solution Steps

Divide 1600g by 400 to get 4g.

$$4gg$$

Multiply g and g to get g^{2}.

$$4g^{2}$$

Differentiate w.r.t. g

$$8g$$

Steps Using Definition of a Derivative

Divide 1600g by 400 to get 4g.

$$\frac{\mathrm{d}}{\mathrm{d}g}(4gg)$$

Multiply g and g to get g^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}g}(4g^{2})$$

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

$$2\times 4g^{2-1}$$

Multiply 2 times 4.

$$8g^{2-1}$$

Subtract 1 from 2.

$$8g^{1}$$

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

$$8g$$