Solve delta5/100div5/5

$$\frac { \delta 5 } { 100 } \div \frac { 5 } { 5 }$$

Evaluate

$$\frac{\delta _{5}}{100}$$

Solution Steps

Divide 5 by 5 to get 1.

$$\frac{\frac{\delta _{5}}{100}}{1}$$

Anything divided by one gives itself.

$$\frac{\delta _{5}}{100}$$

Differentiate w.r.t. δ_5

$$\frac{1}{100} = 0.01$$

Steps Using Definition of a Derivative

Divide 5 by 5 to get 1.

$$\frac{\mathrm{d}}{\mathrm{d}\delta _{5}}(\frac{\frac{\delta _{5}}{100}}{1})$$

Anything divided by one gives itself.

$$\frac{\mathrm{d}}{\mathrm{d}\delta _{5}}(\frac{\delta _{5}}{100})$$

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

$$\frac{1}{100}\delta _{5}^{1-1}$$

Subtract 1 from 1.

$$\frac{1}{100}\delta _{5}^{0}$$

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

$$\frac{1}{100}\times 1$$

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

$$\frac{1}{100}$$