Solve f(1)-f(3)/1-3

$$\frac { f ( 1 ) - f ( 3 ) } { 1 - 3 }$$

Evaluate

$$f$$

Solution Steps

Combine f\times 1 and -f\times 3 to get -2f.

$$\frac{-2f}{1-3}$$

Subtract 3 from 1 to get -2.

$$\frac{-2f}{-2}$$

Cancel out -2 and -2.

$$f$$

Differentiate w.r.t. f

$$1$$

Steps Using Definition of a Derivative

Combine f\times 1 and -f\times 3 to get -2f.

$$\frac{\mathrm{d}}{\mathrm{d}f}(\frac{-2f}{1-3})$$

Subtract 3 from 1 to get -2.

$$\frac{\mathrm{d}}{\mathrm{d}f}(\frac{-2f}{-2})$$

Cancel out -2 and -2.

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

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.

$$1$$