Solve 2+1.25f+10-2.75f

$$2+1.25f+10-2.75f$$

Evaluate

$$-\frac{3f}{2}+12$$

Solution Steps

Add 2 and 10 to get 12.

$$12+1.25f-2.75f$$

Combine 1.25f and -2.75f to get -1.5f.

$$12-1.5f$$

Differentiate w.r.t. f

$$-1.5$$

Steps Using Derivative Rule for Sum

Add 2 and 10 to get 12.

$$\frac{\mathrm{d}}{\mathrm{d}f}(12+1.25f-2.75f)$$

Combine 1.25f and -2.75f to get -1.5f.

$$\frac{\mathrm{d}}{\mathrm{d}f}(12-1.5f)$$

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}.

$$-1.5f^{1-1}$$

Subtract 1 from 1.

$$-1.5f^{0}$$

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

$$-1.5$$