Solve C^0S/20

$$C ^ { 0 } S / 20$$

Evaluate

$$\frac{S}{20}$$

Solution Steps

Calculate C to the power of 0 and get 1.

$$\frac{1S}{20}$$

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

$$\frac{S}{20}$$

Differentiate w.r.t. S

$$\frac{1}{20} = 0.05$$

Steps Using Definition of a Derivative

Calculate C to the power of 0 and get 1.

$$\frac{\mathrm{d}}{\mathrm{d}S}(\frac{1S}{20})$$

The derivative of ax^{n} is nax^{n-1}.

$$\frac{1}{20}S^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{20}S^{0}$$

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

$$\frac{1}{20}\times 1$$

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

$$\frac{1}{20}$$