Solve f(x)-f(A)/x-A

$$\frac { f ( x ) - f ( A ) } { x - A }$$

Evaluate

$$f$$

Short Solution Steps

Factor the expressions that are not already factored.

$$\frac{f\left(x-A\right)}{x-A}$$

Cancel out x-A 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{fx-fA}{x-A}.

$$\frac{\mathrm{d}}{\mathrm{d}f}(\frac{f\left(x-A\right)}{x-A})$$

Cancel out x-A 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.

$$1$$