Whakaoti i te cot(θ10^-19)

$$\cot ( \theta { 10 }^{ -19 } )$$

Kimi Pārōnaki e ai ki θ

$$-\frac{1}{10000000000000000000\left(\sin(\frac{\theta }{10000000000000000000})\right)^{2}}$$

Ngā Upane e Whakamahi ana i te Ture Mekameka

Tātaihia te 10 mā te pū o -19, kia riro ko \frac{1}{10000000000000000000}.

$$\frac{\mathrm{d}}{\mathrm{d}\theta }(\cot(\theta \times \frac{1}{10000000000000000000}))$$

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).

$$\left(-\left(\csc(\frac{1}{10000000000000000000}\theta ^{1})\right)^{2}\right)\frac{\mathrm{d}}{\mathrm{d}\theta }(\frac{1}{10000000000000000000}\theta ^{1})$$

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}.

$$\left(-\left(\csc(\frac{1}{10000000000000000000}\theta ^{1})\right)^{2}\right)\times \frac{1}{10000000000000000000}\theta ^{1-1}$$

Whakarūnātia.

$$-\frac{1}{10000000000000000000}\left(\csc(\frac{1}{10000000000000000000}\theta ^{1})\right)^{2}$$

Mō tētahi kupu t, t^{1}=t.

$$-\frac{1}{10000000000000000000}\left(\csc(\frac{1}{10000000000000000000}\theta )\right)^{2}$$

Aromātai

$$\cot(\frac{\theta }{10000000000000000000})$$