Solve (3f-9)+(-7f+4)

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

Evaluate

$$-4f-5$$

Solution Steps

Combine 3f and -7f to get -4f.

$$-4f-9+4$$

Add -9 and 4 to get -5.

$$-4f-5$$

Differentiate w.r.t. f

$$-4$$

Steps Using Derivative Rule for Sum

Combine 3f and -7f to get -4f.

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

Add -9 and 4 to get -5.

$$\frac{\mathrm{d}}{\mathrm{d}f}(-4f-5)$$

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}.

$$-4f^{1-1}$$

Subtract 1 from 1.

$$-4f^{0}$$

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

$$-4$$