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人気のある微分積分 >

derivative cos^2(t)

解

導関数

cos^{2} (t)

解

- sin (2 t)

解答ステップ

\frac{d}{d t} (cos^{2} (t))

連鎖法則を適用:

2 cos (t) \frac{d}{d t} (cos (t))

= 2 cos (t) \frac{d}{d t} (cos (t))

\frac{d}{d t} (cos (t)) = - sin (t)

= 2 cos (t) (- sin (t))

簡素化

2 cos (t) (- sin (t)) : - sin (2 t)

= - sin (2 t)

グラフ

人気の例

derivative tan^6(x)

d er i v a t i v e tan^{6} (x)

limit as h approaches 0 of cos(3/h)

h \to 0 lim (cos (\frac{3}{h}))

integral of 6θsec^2(θ)

\int 6 θ sec^{2} (θ) d θ

integral of t^6

\int t^{6} d t

f(x)=(sin(1/x)*x^3)/(ln(x))

f (x) = \frac{sin ( \frac{1}{x} ) \cdot x ^{3}}{ln ( x )}