Solve q(3+x)-q(3)/x

$$\frac { q ( 3 + x ) - q ( 3 ) } { x }$$

Evaluate

$$q$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{qx}{x}$$

Cancel out x in both numerator and denominator.

$$q$$

Differentiate w.r.t. q

$$1$$

Steps Using Definition of a Derivative

Factor the expressions that are not already factored in \frac{q\left(3+x\right)-q\times 3}{x}.

$$\frac{\mathrm{d}}{\mathrm{d}q}(\frac{qx}{x})$$

Cancel out x in both numerator and denominator.

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

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

$$q^{1-1}$$

Subtract 1 from 1.

$$q^{0}$$

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

$$1$$