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人気のある微分積分 >

derivative y=cos^2(3x-1)

解

導関数

y = cos^{2} (3 x - 1)

解

- 6 cos (3 x - 1) sin (3 x - 1)

解答ステップ

\frac{d}{d x} (cos^{2} (3 x - 1))

連鎖法則を適用:

2 cos (3 x - 1) \frac{d}{d x} (cos (3 x - 1))

= 2 cos (3 x - 1) \frac{d}{d x} (cos (3 x - 1))

\frac{d}{d x} (cos (3 x - 1)) = - sin (3 x - 1) \cdot 3

= 2 cos (3 x - 1) (- sin (3 x - 1) \cdot 3)

簡素化

= - 6 cos (3 x - 1) sin (3 x - 1)

グラフ

人気の例

limit as x approaches 0-of 8/(5x^{1/2)}

x \to 0 - lim (\frac{8}{5 x ^{\frac{1}{2}}})

勾配 (5.4)(7.7)

s l o p e (5.4) (7.7)

integral of (x^2)/((15+6x-9x^2)^{3/2)}

\int \frac{x ^{2}}{( 15 + 6 x - 9 x ^{2} ) ^{\frac{3}{2}}} d x

tangent f(x)=sqrt(x+1),\at x=0

t an g e n t f (x) = x + 1, at x = 0

derivative f(x)=e^{sqrt(x)}

d er i v a t i v e f (x) = e^{x}