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人気のある微分積分 >

derivative 4csc(5x)

解

導関数

4 csc (5 x)

解

- 20 cot (5 x) csc (5 x)

解答ステップ

\frac{d}{d x} (4 csc (5 x))

定数を除去:

(a \cdot f)^{'} = a \cdot f^{'}

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

連鎖法則を適用:

- cot (5 x) csc (5 x) \frac{d}{d x} (5 x)

= - cot (5 x) csc (5 x) \frac{d}{d x} (5 x)

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

= 4 (- cot (5 x) csc (5 x) \cdot 5)

簡素化

= - 20 cot (5 x) csc (5 x)

グラフ

人気の例

f (t) = 4 t^{2}

(\partial)/(\partial x)(Ae^{i(kx-wt)})

\frac{\partial}{\partial x} (A e^{i (k x - wt)})

(\partial)/(\partial x)(ln(sin^2(x)))

\frac{\partial}{\partial x} (ln (sin^{2} (x)))

sum from n=0 to infinity of 2^n*(1/4)^{ln(2^n)}

n = 0 \sum \infty 2^{n} \cdot (\frac{1}{4})^{l n (2^{n})}

(d^2y)/(dx^2)=4e^{-x},y(0)=3,y^'(0)=2

\frac{d ^{2} y}{d x ^{2}} = 4 e^{- x}, y (0) = 3, y^{^{'}} (0) = 2