Solve c^2+8c^2-10

$$c ^ { 2 } + 8 c ^ { 2 } - 10$$

Differentiate w.r.t. c

$$18c$$

Steps Using Derivative Rule for Sum

Combine c^{2} and 8c^{2} to get 9c^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}c}(9c^{2}-10)$$

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}.

$$2\times 9c^{2-1}$$

Multiply 2 times 9.

$$18c^{2-1}$$

Subtract 1 from 2.

$$18c^{1}$$

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

$$18c$$

Evaluate

$$9c^{2}-10$$

Solution Steps

Combine c^{2} and 8c^{2} to get 9c^{2}.

$$9c^{2}-10$$