Solve 2sigma/100*360

$$\frac { 2 \sigma } { 100 } \times 360$$

Evaluate

$$\frac{36\sigma }{5}$$

Solution Steps

Divide 2\sigma by 100 to get \frac{1}{50}\sigma .

$$\frac{1}{50}\sigma \times 360$$

Multiply \frac{1}{50} and 360 to get \frac{360}{50}.

$$\frac{360}{50}\sigma$$

Reduce the fraction \frac{360}{50} to lowest terms by extracting and canceling out 10.

$$\frac{36}{5}\sigma$$

Differentiate w.r.t. σ

$$\frac{36}{5} = 7\frac{1}{5} = 7.2$$

Steps Using Definition of a Derivative

Divide 2\sigma by 100 to get \frac{1}{50}\sigma .

$$\frac{\mathrm{d}}{\mathrm{d}\sigma }(\frac{1}{50}\sigma \times 360)$$

Multiply \frac{1}{50} and 360 to get \frac{360}{50}.

$$\frac{\mathrm{d}}{\mathrm{d}\sigma }(\frac{360}{50}\sigma )$$

Reduce the fraction \frac{360}{50} to lowest terms by extracting and canceling out 10.

$$\frac{\mathrm{d}}{\mathrm{d}\sigma }(\frac{36}{5}\sigma )$$

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

$$\frac{36}{5}\sigma ^{1-1}$$

Subtract 1 from 1.

$$\frac{36}{5}\sigma ^{0}$$

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

$$\frac{36}{5}\times 1$$

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

$$\frac{36}{5}$$