Solve 4C-sqrt{64}

$$4 C - \sqrt { 64 }$$

Differentiate w.r.t. C

$$4$$

Steps Using Derivative Rule for Sum

Calculate the square root of 64 and get 8.

$$\frac{\mathrm{d}}{\mathrm{d}C}(4C-8)$$

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}.

$$4C^{1-1}$$

Subtract 1 from 1.

$$4C^{0}$$

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

$$4\times 1$$

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

$$4$$

Evaluate

$$4\left(C-2\right)$$

Solution Steps

Calculate the square root of 64 and get 8.

$$4C-8$$