Solve -11f+6-f+4+13f-9

$$- 11 f + 6 - f + 4 + 13 f - 9$$

Evaluate

$$f+1$$

Solution Steps

Combine -11f and -f to get -12f.

$$-12f+6+4+13f-9$$

Add 6 and 4 to get 10.

$$-12f+10+13f-9$$

Combine -12f and 13f to get f.

$$f+10-9$$

Subtract 9 from 10 to get 1.

$$f+1$$

Differentiate w.r.t. f

$$1$$

Steps Using Derivative Rule for Sum

Combine -11f and -f to get -12f.

$$\frac{\mathrm{d}}{\mathrm{d}f}(-12f+6+4+13f-9)$$

Add 6 and 4 to get 10.

$$\frac{\mathrm{d}}{\mathrm{d}f}(-12f+10+13f-9)$$

Combine -12f and 13f to get f.

$$\frac{\mathrm{d}}{\mathrm{d}f}(f+10-9)$$

Subtract 9 from 10 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}f}(f+1)$$

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}.

$$f^{1-1}$$

Subtract 1 from 1.

$$f^{0}$$

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

$$1$$