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derivative 3x^{5/2}+8x^2

الحلّ

derivative of

3 x^{\frac{5}{2}} + 8 x^{2}

الحلّ

\frac{15 x ^{\frac{3}{2}}}{2} + 16 x

خطوات الحلّ

\frac{d}{d x} (3 x^{\frac{5}{2}} + 8 x^{2})

(f \pm g)^{'} = f^{'} \pm g^{'}

:استعمل قانون الجمع

= \frac{d}{d x} (3 x^{\frac{5}{2}}) + \frac{d}{d x} (8 x^{2})

\frac{d}{d x} (3 x^{\frac{5}{2}}) = \frac{15 x ^{\frac{3}{2}}}{2}

\frac{d}{d x} (8 x^{2}) = 16 x

= \frac{15 x ^{\frac{3}{2}}}{2} + 16 x

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