Solve 259*10^-2motsigma_{2}*2m/3

$$259 \times 10 ^ { - 2 } mot \sigma _ { 2 } \times \frac { 2 m } { 3 }$$

Evaluate

$$\frac{259ot\sigma _{2}m^{2}}{150}$$

Solution Steps

Calculate 10 to the power of -2 and get \frac{1}{100}.

$$259\times \frac{1}{100}mot\sigma _{2}\times \frac{2m}{3}$$

Multiply 259 and \frac{1}{100} to get \frac{259}{100}.

$$\frac{259}{100}mot\sigma _{2}\times \frac{2m}{3}$$

Multiply \frac{259}{100} times \frac{2m}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{259\times 2m}{100\times 3}mot\sigma _{2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{259m}{3\times 50}mot\sigma _{2}$$

Multiply 3 and 50 to get 150.

$$\frac{259m}{150}mot\sigma _{2}$$

Express \frac{259m}{150}m as a single fraction.

$$\frac{259mm}{150}ot\sigma _{2}$$

Express \frac{259mm}{150}o as a single fraction.

$$\frac{259mmo}{150}t\sigma _{2}$$

Express \frac{259mmo}{150}t as a single fraction.

$$\frac{259mmot}{150}\sigma _{2}$$

Express \frac{259mmot}{150}\sigma _{2} as a single fraction.

$$\frac{259mmot\sigma _{2}}{150}$$

Multiply m and m to get m^{2}.

$$\frac{259m^{2}ot\sigma _{2}}{150}$$

Differentiate w.r.t. o

$$\frac{259t\sigma _{2}m^{2}}{150}$$