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شائع >

derivative (1+2x)^{10}

الحلّ

derivative of

(1 + 2 x)^{10}

الحلّ

20 (1 + 2 x)^{9}

خطوات الحلّ

\frac{d}{d x} ((1 + 2 x)^{10})

استعمل قانون السلسلة:

10 (1 + 2 x)^{9} \frac{d}{d x} (1 + 2 x)

= 10 (1 + 2 x)^{9} \frac{d}{d x} (1 + 2 x)

\frac{d}{d x} (1 + 2 x) = 2

= 10 (1 + 2 x)^{9} \cdot 2

بسّط

= 20 (1 + 2 x)^{9}

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