9/4x^2/frac{6x{16x^4}} eching

$$\frac { \frac { 9 } { 4 x ^ { 2 } } } { \frac { 6 x } { 16 x ^ { 4 } } }$$

Baholash

$$6x$$

Yechim qadamlari

\frac{9}{4x^{2}} ni \frac{6x}{16x^{4}} ga bo'lish \frac{9}{4x^{2}} ga k'paytirish \frac{6x}{16x^{4}} ga qaytarish.

$$\frac{9\times 16x^{4}}{4x^{2}\times 6x}$$

Surat va maxrajdagi ikkala 2\times 3\times 4xx^{2} ni qisqartiring.

$$2\times 3x$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$6x$$

x ga nisbatan hosilani topish

$$6$$

Derivativ ifodasidan foydalanish qadamlari

\frac{9}{4x^{2}} ni \frac{6x}{16x^{4}} ga bo'lish \frac{9}{4x^{2}} ga k'paytirish \frac{6x}{16x^{4}} ga qaytarish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{9\times 16x^{4}}{4x^{2}\times 6x})$$

Surat va maxrajdagi ikkala 2\times 3\times 4xx^{2} ni qisqartiring.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2\times 3x)$$

6 hosil qilish uchun 2 va 3 ni ko'paytirish.

$$\frac{\mathrm{d}}{\mathrm{d}x}(6x)$$

ax^{n} hosilasi – nax^{n-1}.

$$6x^{1-1}$$

1 dan 1 ni ayirish.

$$6x^{0}$$

Har qanday t sharti uchun (0 bundan mustasno) t^{0}=1.

$$6\times 1$$

Har qanday t sharti uchun t\times 1=t va 1t=t.

$$6$$