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פּוֹפּוּלָרִי >

derivative f(x)=x^5-2x^3+x

פתרון

derivative of

f (x) = x^{5} - 2 x^{3} + x

פתרון

5 x^{4} - 6 x^{2} + 1

צעדי פתרון

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

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

:השתמש בחוק החיבור

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

\frac{d}{d x} (x^{5}) = 5 x^{4}

\frac{d}{d x} (2 x^{3}) = 6 x^{2}

\frac{d x}{d x} = 1

= 5 x^{4} - 6 x^{2} + 1

דוגמאות פופולריות

derivative y=sqrt(2-x^2)derivative of

y = 2 - x^{2}

tangent 3x^2-4 tangent of

3 x^{2} - 4

tangent y=x^2 tangent of

y = x^{2}

derivative y=5 derivative of

y = 5

polar (5sqrt(3),5)cartesian to polar

(53, 5)