Resolver x/3+5x/9-5x/18

$$\frac { x } { 3 } + \frac { 5 x } { 9 } - \frac { 5 x } { 18 }$$

Calcular

$$\frac{11x}{18}$$

Pasos da solución

Combina \frac{5x}{9} e -\frac{5x}{18} para obter \frac{1}{18}\times 5x.

$$\frac{x}{3}+\frac{1}{18}\times 5x$$

Multiplica \frac{1}{18} e 5 para obter \frac{5}{18}.

$$\frac{x}{3}+\frac{5}{18}x$$

Combina \frac{x}{3} e \frac{5}{18}x para obter \frac{11}{18}x.

$$\frac{11}{18}x$$

Diferenciar w.r.t. x

$$\frac{11}{18} = 0.6111111111111112$$

Pasos que usan a definición dunha derivada

Combina \frac{5x}{9} e -\frac{5x}{18} para obter \frac{1}{18}\times 5x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{3}+\frac{1}{18}\times 5x)$$

Multiplica \frac{1}{18} e 5 para obter \frac{5}{18}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{x}{3}+\frac{5}{18}x)$$

Combina \frac{x}{3} e \frac{5}{18}x para obter \frac{11}{18}x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{11}{18}x)$$

A derivada de ax^{n} é nax^{n-1}.

$$\frac{11}{18}x^{1-1}$$

Resta 1 de 1.

$$\frac{11}{18}x^{0}$$

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

$$\frac{11}{18}\times 1$$

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

$$\frac{11}{18}$$