Resolver -667*10^-1118x*x/15*10^8

$$-667 \times { 10 }^{ -11 } \frac{ 18x \times x }{ 15 \times { 10 }^{ 8 } }$$

Avaliar

$$-\frac{2001x^{2}}{25000000000000000000}$$

Passos Para a Resolução

Multiplique x e x para obter x^{2}.

$$-667\times 10^{-11}\times \frac{18x^{2}}{15\times 10^{8}}$$

Calcule 10 elevado a -11 e obtenha \frac{1}{100000000000}.

$$-667\times \frac{1}{100000000000}\times \frac{18x^{2}}{15\times 10^{8}}$$

Multiplique -667 e \frac{1}{100000000000} para obter -\frac{667}{100000000000}.

$$-\frac{667}{100000000000}\times \frac{18x^{2}}{15\times 10^{8}}$$

Anule 3 no numerador e no denominador.

$$-\frac{667}{100000000000}\times \frac{6x^{2}}{5\times 10^{8}}$$

Calcule 10 elevado a 8 e obtenha 100000000.

$$-\frac{667}{100000000000}\times \frac{6x^{2}}{5\times 100000000}$$

Multiplique 5 e 100000000 para obter 500000000.

$$-\frac{667}{100000000000}\times \frac{6x^{2}}{500000000}$$

Dividir 6x^{2} por 500000000 para obter \frac{3}{250000000}x^{2}.

$$-\frac{667}{100000000000}\times \frac{3}{250000000}x^{2}$$

Multiplique -\frac{667}{100000000000} e \frac{3}{250000000} para obter -\frac{2001}{25000000000000000000}.

$$-\frac{2001}{25000000000000000000}x^{2}$$

Calcular a diferenciação com respeito a x

$$-\frac{2001x}{12500000000000000000}$$

Passos Para Utilizar a Definição de Uma Derivada

Multiplique x e x para obter x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-667\times 10^{-11}\times \frac{18x^{2}}{15\times 10^{8}})$$

Calcule 10 elevado a -11 e obtenha \frac{1}{100000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-667\times \frac{1}{100000000000}\times \frac{18x^{2}}{15\times 10^{8}})$$

Multiplique -667 e \frac{1}{100000000000} para obter -\frac{667}{100000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{18x^{2}}{15\times 10^{8}})$$

Anule 3 no numerador e no denominador.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{6x^{2}}{5\times 10^{8}})$$

Calcule 10 elevado a 8 e obtenha 100000000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{6x^{2}}{5\times 100000000})$$

Multiplique 5 e 100000000 para obter 500000000.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{6x^{2}}{500000000})$$

Dividir 6x^{2} por 500000000 para obter \frac{3}{250000000}x^{2}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{667}{100000000000}\times \frac{3}{250000000}x^{2})$$

Multiplique -\frac{667}{100000000000} e \frac{3}{250000000} para obter -\frac{2001}{25000000000000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}x}(-\frac{2001}{25000000000000000000}x^{2})$$

A derivada da ax^{n} é nax^{n-1}.

$$2\left(-\frac{2001}{25000000000000000000}\right)x^{2-1}$$

Multiplique 2 vezes -\frac{2001}{25000000000000000000}.

$$-\frac{2001}{12500000000000000000}x^{2-1}$$

Subtraia 1 de 2.

$$-\frac{2001}{12500000000000000000}x^{1}$$

Para qualquer termo t, t^{1}=t.

$$-\frac{2001}{12500000000000000000}x$$