Solve 2+5c-24

$$2 + 5 c - 24$$

Differentiate w.r.t. c

$$5$$

Steps Using Derivative Rule for Sum

Subtract 24 from 2 to get -22.

$$\frac{\mathrm{d}}{\mathrm{d}c}(-22+5c)$$

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}.

$$5c^{1-1}$$

Subtract 1 from 1.

$$5c^{0}$$

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

$$5\times 1$$

For any term t, t\times 1=t and 1t=t.

$$5$$

Evaluate

$$5c-22$$

Solution Steps

Subtract 24 from 2 to get -22.

$$-22+5c$$