Solve f(x+2)-f(2)/x

$$\frac { f ( x + 2 ) - f ( 2 ) } { x }$$

Evaluate

$$f$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{fx}{x}$$

Cancel out x in both numerator and denominator.

$$f$$

Differentiate w.r.t. f

$$1$$

Steps Using Definition of a Derivative

Factor the expressions that are not already factored in \frac{f\left(x+2\right)-f\times 2}{x}.

$$\frac{\mathrm{d}}{\mathrm{d}f}(\frac{fx}{x})$$

Cancel out x in both numerator and denominator.

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

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

$$f^{1-1}$$

Subtract 1 from 1.

$$f^{0}$$

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

$$1$$