Solve f25+37-48-25-37

$$f 25 + 37 - 48 - 25 - 37$$

Evaluate

$$f_{25}-73$$

Solution Steps

Subtract 48 from 37 to get -11.

$$f_{25}-11-25-37$$

Subtract 25 from -11 to get -36.

$$f_{25}-36-37$$

Subtract 37 from -36 to get -73.

$$f_{25}-73$$

Differentiate w.r.t. f_25

$$1$$

Steps Using Derivative Rule for Sum

Subtract 48 from 37 to get -11.

$$\frac{\mathrm{d}}{\mathrm{d}f_{25}}(f_{25}-11-25-37)$$

Subtract 25 from -11 to get -36.

$$\frac{\mathrm{d}}{\mathrm{d}f_{25}}(f_{25}-36-37)$$

Subtract 37 from -36 to get -73.

$$\frac{\mathrm{d}}{\mathrm{d}f_{25}}(f_{25}-73)$$

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax^{n} is nax^{n-1}.

$$f_{25}^{1-1}$$

Subtract 1 from 1.

$$f_{25}^{0}$$

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

$$1$$