Whakaoti i te (568+(0.21*x)*36.18*438)+(118*45.78*438)+(532*63.23*438)+(5584.24+(0.79*x)*28.81*438)=

$$(568+(0.21 \times x) \times 36.18 \times 438)+(118 \times 45.78 \times 438)+(532 \times 63.23 \times 438)+(5584.24+(0.79 \times x) \times 28.81 \times 438)=$$

Aromātai

$$\frac{66483363x}{5000}+17105847.44$$

Ngā Upane Otinga

Whakareatia te 0.21 ki te 36.18, ka 7.5978.

$$568+7.5978x\times 438+118\times 45.78\times 438+532\times 63.23\times 438+5584.24+0.79x\times 28.81\times 438$$

Whakareatia te 7.5978 ki te 438, ka 3327.8364.

$$568+3327.8364x+118\times 45.78\times 438+532\times 63.23\times 438+5584.24+0.79x\times 28.81\times 438$$

Whakareatia te 118 ki te 45.78, ka 5402.04.

$$568+3327.8364x+5402.04\times 438+532\times 63.23\times 438+5584.24+0.79x\times 28.81\times 438$$

Whakareatia te 5402.04 ki te 438, ka 2366093.52.

$$568+3327.8364x+2366093.52+532\times 63.23\times 438+5584.24+0.79x\times 28.81\times 438$$

Tāpirihia te 568 ki te 2366093.52, ka 2366661.52.

$$2366661.52+3327.8364x+532\times 63.23\times 438+5584.24+0.79x\times 28.81\times 438$$

Whakareatia te 532 ki te 63.23, ka 33638.36.

$$2366661.52+3327.8364x+33638.36\times 438+5584.24+0.79x\times 28.81\times 438$$

Whakareatia te 33638.36 ki te 438, ka 14733601.68.

$$2366661.52+3327.8364x+14733601.68+5584.24+0.79x\times 28.81\times 438$$

Tāpirihia te 2366661.52 ki te 14733601.68, ka 17100263.2.

$$17100263.2+3327.8364x+5584.24+0.79x\times 28.81\times 438$$

Tāpirihia te 17100263.2 ki te 5584.24, ka 17105847.44.

$$17105847.44+3327.8364x+0.79x\times 28.81\times 438$$

Whakareatia te 0.79 ki te 28.81, ka 22.7599.

$$17105847.44+3327.8364x+22.7599x\times 438$$

Whakareatia te 22.7599 ki te 438, ka 9968.8362.

$$17105847.44+3327.8364x+9968.8362x$$

Pahekotia te 3327.8364x me 9968.8362x, ka 13296.6726x.

$$17105847.44+13296.6726x$$

Kimi Pārōnaki e ai ki x

$$13296.6726$$

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

Whakareatia te 0.21 ki te 36.18, ka 7.5978.

$$\frac{\mathrm{d}}{\mathrm{d}x}(568+7.5978x\times 438+118\times 45.78\times 438+532\times 63.23\times 438+5584.24+0.79x\times 28.81\times 438)$$

Whakareatia te 7.5978 ki te 438, ka 3327.8364.

$$\frac{\mathrm{d}}{\mathrm{d}x}(568+3327.8364x+118\times 45.78\times 438+532\times 63.23\times 438+5584.24+0.79x\times 28.81\times 438)$$

Whakareatia te 118 ki te 45.78, ka 5402.04.

$$\frac{\mathrm{d}}{\mathrm{d}x}(568+3327.8364x+5402.04\times 438+532\times 63.23\times 438+5584.24+0.79x\times 28.81\times 438)$$

Whakareatia te 5402.04 ki te 438, ka 2366093.52.

$$\frac{\mathrm{d}}{\mathrm{d}x}(568+3327.8364x+2366093.52+532\times 63.23\times 438+5584.24+0.79x\times 28.81\times 438)$$

Tāpirihia te 568 ki te 2366093.52, ka 2366661.52.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2366661.52+3327.8364x+532\times 63.23\times 438+5584.24+0.79x\times 28.81\times 438)$$

Whakareatia te 532 ki te 63.23, ka 33638.36.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2366661.52+3327.8364x+33638.36\times 438+5584.24+0.79x\times 28.81\times 438)$$

Whakareatia te 33638.36 ki te 438, ka 14733601.68.

$$\frac{\mathrm{d}}{\mathrm{d}x}(2366661.52+3327.8364x+14733601.68+5584.24+0.79x\times 28.81\times 438)$$

Tāpirihia te 2366661.52 ki te 14733601.68, ka 17100263.2.

$$\frac{\mathrm{d}}{\mathrm{d}x}(17100263.2+3327.8364x+5584.24+0.79x\times 28.81\times 438)$$

Tāpirihia te 17100263.2 ki te 5584.24, ka 17105847.44.

$$\frac{\mathrm{d}}{\mathrm{d}x}(17105847.44+3327.8364x+0.79x\times 28.81\times 438)$$

Whakareatia te 0.79 ki te 28.81, ka 22.7599.

$$\frac{\mathrm{d}}{\mathrm{d}x}(17105847.44+3327.8364x+22.7599x\times 438)$$

Whakareatia te 22.7599 ki te 438, ka 9968.8362.

$$\frac{\mathrm{d}}{\mathrm{d}x}(17105847.44+3327.8364x+9968.8362x)$$

Pahekotia te 3327.8364x me 9968.8362x, ka 13296.6726x.

$$\frac{\mathrm{d}}{\mathrm{d}x}(17105847.44+13296.6726x)$$

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}.

$$13296.6726x^{1-1}$$

Tango 1 mai i 1.

$$13296.6726x^{0}$$

Mō tētahi kupu t mahue te 0, t^{0}=1.

$$13296.6726\times 1$$

Mō tētahi kupu t, t\times 1=t me 1t=t.

$$13296.6726$$