Resolver 1.3m01*6.02*10^23

$$1.3 m 01 \cdot 6.02 \cdot 10 ^ { 23 }$$

Calcular

$$782600000000000000000000m_{0}$$

Pasos da solución

Multiplica 1.3 e 1 para obter 1.3.

$$1.3m_{0}\times 6.02\times 10^{23}$$

Multiplica 1.3 e 6.02 para obter 7.826.

$$7.826m_{0}\times 10^{23}$$

Calcula 10 á potencia de 23 e obtén 100000000000000000000000.

$$7.826m_{0}\times 100000000000000000000000$$

Multiplica 7.826 e 100000000000000000000000 para obter 782600000000000000000000.

$$782600000000000000000000m_{0}$$

Diferenciar w.r.t. m_0

$$782600000000000000000000$$

Pasos que usan a definición dunha derivada

Multiplica 1.3 e 1 para obter 1.3.

$$\frac{\mathrm{d}}{\mathrm{d}m_{0}}(1.3m_{0}\times 6.02\times 10^{23})$$

Multiplica 1.3 e 6.02 para obter 7.826.

$$\frac{\mathrm{d}}{\mathrm{d}m_{0}}(7.826m_{0}\times 10^{23})$$

Calcula 10 á potencia de 23 e obtén 100000000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}m_{0}}(7.826m_{0}\times 100000000000000000000000)$$

Multiplica 7.826 e 100000000000000000000000 para obter 782600000000000000000000.

$$\frac{\mathrm{d}}{\mathrm{d}m_{0}}(782600000000000000000000m_{0})$$

A derivada de ax^{n} é nax^{n-1}.

$$782600000000000000000000m_{0}^{1-1}$$

Resta 1 de 1.

$$782600000000000000000000m_{0}^{0}$$

Para calquera termo t agás 0, t^{0}=1.

$$782600000000000000000000\times 1$$

Para calquera termo t, t\times 1=t e 1t=t.

$$782600000000000000000000$$