Solve 2000mus^2*5m/49/m^3

$$\frac { 2000 \mu s ^ { 2 } \times \frac { 5 m } { 49 } } { m ^ { 3 } }$$

Evaluate

$$\frac{10000\times \left(\frac{s}{m}\right)^{2}\mu }{49}$$

Solution Steps

Express 2000\times \frac{5m}{49} as a single fraction.

$$\frac{\frac{2000\times 5m}{49}\mu s^{2}}{m^{3}}$$

Multiply 2000 and 5 to get 10000.

$$\frac{\frac{10000m}{49}\mu s^{2}}{m^{3}}$$

Express \frac{10000m}{49}\mu as a single fraction.

$$\frac{\frac{10000m\mu }{49}s^{2}}{m^{3}}$$

Express \frac{10000m\mu }{49}s^{2} as a single fraction.

$$\frac{\frac{10000m\mu s^{2}}{49}}{m^{3}}$$

Express \frac{\frac{10000m\mu s^{2}}{49}}{m^{3}} as a single fraction.

$$\frac{10000m\mu s^{2}}{49m^{3}}$$

Cancel out m in both numerator and denominator.

$$\frac{10000\mu s^{2}}{49m^{2}}$$

Differentiate w.r.t. μ

$$\frac{10000\times \left(\frac{s}{m}\right)^{2}}{49}$$