Solve g*g*g

$$g \cdot g \cdot g$$

Evaluate

$$g^{3}$$

Steps Using Product of Powers Property

Use the rules of exponents to simplify the expression.

$$g^{1}g^{1}g^{1}$$

Use the Multiplication Rule for Exponents.

$$g^{1+1+1}$$

Add the exponents 1 and 1.

$$g^{2+1}$$

Add the exponents 2 and 1.

$$g^{3}$$

Differentiate w.r.t. g

$$3g^{2}$$

Steps Using Definition of a Derivative

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

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

To multiply powers of the same base, add their exponents. Add 2 and 1 to get 3.

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

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

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

Subtract 1 from 3.

$$3g^{2}$$