Solve -7f+8+1-4f-3f

$$- 7 f + 8 + 1 - 4 f - 3 f$$

Evaluate

$$9-14f$$

Solution Steps

Add 8 and 1 to get 9.

$$-7f+9-4f-3f$$

Combine -7f and -4f to get -11f.

$$-11f+9-3f$$

Combine -11f and -3f to get -14f.

$$-14f+9$$

Differentiate w.r.t. f

$$-14$$

Steps Using Derivative Rule for Sum

Add 8 and 1 to get 9.

$$\frac{\mathrm{d}}{\mathrm{d}f}(-7f+9-4f-3f)$$

Combine -7f and -4f to get -11f.

$$\frac{\mathrm{d}}{\mathrm{d}f}(-11f+9-3f)$$

Combine -11f and -3f to get -14f.

$$\frac{\mathrm{d}}{\mathrm{d}f}(-14f+9)$$

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}.

$$-14f^{1-1}$$

Subtract 1 from 1.

$$-14f^{0}$$

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

$$-14$$