Solve c^2+sc-24=

$$c ^ { 2 } + s c - 24 =$$

Differentiate w.r.t. c

$$s+2c$$

Steps Using Derivative Rule for Sum

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}.

$$2c^{2-1}+sc^{1-1}$$

Subtract 1 from 2.

$$2c^{1}+sc^{1-1}$$

Subtract 1 from 1.

$$2c^{1}+sc^{0}$$

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

$$2c+sc^{0}$$

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

$$2c+s\times 1$$

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

$$2c+s$$

Evaluate

$$cs+c^{2}-24$$