Whakaoti i te f(x)=csc3/x

$$f ( x ) = \csc \frac { 3 } { x }$$

Kimi Pārōnaki e ai ki x

$$\frac{3\cot(\frac{3}{x})}{x^{2}\sin(\frac{3}{x})}$$

Ngā Upane e Whakamahi ana i te Ture Mekameka

Mēnā ko F te hanganga o ngā pānga e rua e taea ana te pārōnaki f\left(u\right) me u=g\left(x\right), arā, mēnā ko F\left(x\right)=f\left(g\left(x\right)\right), ko te pārōnaki o F te pārōnaki o f e ai ki u whakareatia te pārōnaki o g e ai ki x, arā, \frac{\mathrm{d}}{\mathrm{d}x}(F)\left(x\right)=\frac{\mathrm{d}}{\mathrm{d}x}(f)\left(g\left(x\right)\right)\frac{\mathrm{d}}{\mathrm{d}x}(g)\left(x\right).

$$\left(-\csc(3\times \frac{1}{x})\right)\cot(3\times \frac{1}{x})\frac{\mathrm{d}}{\mathrm{d}x}(3\times \frac{1}{x})$$

Ko te pārōnaki o tētahi pūrau ko te tapeke o ngā pārōnaki o ōna kīanga tau. Ko te pārōnaki o tētahi kīanga tau pūmau ko 0. Ko te pārōnaki o te ax^{n} ko te nax^{n-1}.

$$\left(-\csc(3\times \frac{1}{x})\right)\cot(3\times \frac{1}{x})\left(-1\right)\times 3x^{-1-1}$$

Whakarūnātia.

$$\left(-\left(-\frac{3}{x^{2}}\right)\right)\csc(3\times \frac{1}{x})\cot(3\times \frac{1}{x})$$

Aromātai

$$\frac{1}{\sin(\frac{3}{x})}$$