Whakaoti i te d/dxtan(x)

$$\frac { d } { d x } \tan ( x )$$

Aromātai

$$\frac{1}{\left(\cos(x)\right)^{2}}$$

Ngā Upane e Whakamahi ana i te Ture Pārōnaki mō te Otinga

Whakamahia te tautuhinga o te pātapa.

$$\frac{\mathrm{d}}{\mathrm{d}x}(\frac{\sin(x)}{\cos(x)})$$

Mō ngā pānga e rua e taea ana te pārōnaki, ko te pārōnaki o te otinga o ngā pānga e rua ko te tauraro whakareatia ki te pārōnaki o te taurunga tango i te taurunga whakareatia ki te pārōnaki o te tauraro, ā, ka whakawehea te katoa ki te tauraro kua pūruatia.

$$\frac{\cos(x)\frac{\mathrm{d}}{\mathrm{d}x}(\sin(x))-\sin(x)\frac{\mathrm{d}}{\mathrm{d}x}(\cos(x))}{\left(\cos(x)\right)^{2}}$$

Ko te pārōnaki o sin(x) ko cos(x), me te pārōnaki o cos(x) ko −sin(x).

$$\frac{\cos(x)\cos(x)-\sin(x)\left(-\sin(x)\right)}{\left(\cos(x)\right)^{2}}$$

Whakarūnātia.

$$\frac{\left(\cos(x)\right)^{2}+\left(\sin(x)\right)^{2}}{\left(\cos(x)\right)^{2}}$$

Whakamahia te Tuakiri Pythagorean.

$$\frac{1}{\left(\cos(x)\right)^{2}}$$

Whakamahia te tautuhinga o te whenu taupoki.

$$\left(\sec(x)\right)^{2}$$

Kimi Pārōnaki e ai ki x

$$\frac{2\tan(x)}{\left(\cos(x)\right)^{2}}$$