Solve 20%25sigma

$$20 \% 25 \sigma$$

Evaluate

$$5\sigma$$

Solution Steps

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$\frac{1}{5}\times 25\sigma$$

Multiply \frac{1}{5} and 25 to get \frac{25}{5}.

$$\frac{25}{5}\sigma$$

Divide 25 by 5 to get 5.

$$5\sigma$$

Differentiate w.r.t. σ

$$5$$

Steps Using Definition of a Derivative

Reduce the fraction \frac{20}{100} to lowest terms by extracting and canceling out 20.

$$\frac{\mathrm{d}}{\mathrm{d}\sigma }(\frac{1}{5}\times 25\sigma )$$

Multiply \frac{1}{5} and 25 to get \frac{25}{5}.

$$\frac{\mathrm{d}}{\mathrm{d}\sigma }(\frac{25}{5}\sigma )$$

Divide 25 by 5 to get 5.

$$\frac{\mathrm{d}}{\mathrm{d}\sigma }(5\sigma )$$

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

$$5\sigma ^{1-1}$$

Subtract 1 from 1.

$$5\sigma ^{0}$$

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

$$5\times 1$$

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

$$5$$