Solve 2.59*10^-2motsigma_{2}*2m/3

$$2.59 \times 10 ^ { - 2 } mot \sigma _ { 2 } \times \frac { 2 m } { 3 }$$

Evaluate

$$\frac{259ot\sigma _{2}m^{2}}{15000}$$

Solution Steps

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

$$2.59\times \frac{1}{100}mot\sigma _{2}\times \frac{2m}{3}$$

Multiply 2.59 and \frac{1}{100} to get \frac{259}{10000}.

$$\frac{259}{10000}mot\sigma _{2}\times \frac{2m}{3}$$

Multiply \frac{259}{10000} times \frac{2m}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{259\times 2m}{10000\times 3}mot\sigma _{2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{259m}{3\times 5000}mot\sigma _{2}$$

Multiply 3 and 5000 to get 15000.

$$\frac{259m}{15000}mot\sigma _{2}$$

Express \frac{259m}{15000}m as a single fraction.

$$\frac{259mm}{15000}ot\sigma _{2}$$

Express \frac{259mm}{15000}o as a single fraction.

$$\frac{259mmo}{15000}t\sigma _{2}$$

Express \frac{259mmo}{15000}t as a single fraction.

$$\frac{259mmot}{15000}\sigma _{2}$$

Express \frac{259mmot}{15000}\sigma _{2} as a single fraction.

$$\frac{259mmot\sigma _{2}}{15000}$$

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

$$\frac{259m^{2}ot\sigma _{2}}{15000}$$

Differentiate w.r.t. o

$$\frac{259t\sigma _{2}m^{2}}{15000}$$