Solve 5.55-8.55c+4.35c

$$5.55 - 8.55 c + 4.35 c$$

Differentiate w.r.t. c

$$-4.2$$

Steps Using Derivative Rule for Sum

Combine -8.55c and 4.35c to get -4.2c.

$$\frac{\mathrm{d}}{\mathrm{d}c}(5.55-4.2c)$$

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}.

$$-4.2c^{1-1}$$

Subtract 1 from 1.

$$-4.2c^{0}$$

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

$$-4.2$$

Evaluate

$$-\frac{21c}{5}+5.55$$

Solution Steps

Combine -8.55c and 4.35c to get -4.2c.

$$5.55-4.2c$$