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人気のある微分積分 >

(\partial)/(\partial x)(cos^2(2x))

解

\frac{\partial}{\partial x} (cos^{2} (2 x))

解

- 2 sin (4 x)

解答ステップ

\frac{\partial}{\partial x} (cos^{2} (2 x))

連鎖法則を適用:

2 cos (2 x) \frac{\partial}{\partial x} (cos (2 x))

= 2 cos (2 x) \frac{\partial}{\partial x} (cos (2 x))

\frac{\partial}{\partial x} (cos (2 x)) = - sin (2 x) \cdot 2

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

簡素化

2 cos (2 x) (- sin (2 x) \cdot 2) : - 2 sin (4 x)

= - 2 sin (4 x)

人気の例

tangent f(x)=4x^2+2x,\at x=2

t an g e n t f (x) = 4 x^{2} + 2 x, at x = 2

integral of x^3cos(x^4+2)

\int x^{3} cos (x^{4} + 2) d x

derivative of 2x+7+(450/x)

\frac{d}{d x} (2 x + 7 + \frac{450}{x})

derivative f(x)= 2/3 (x^2+1)^{3/2}

d er i v a t i v e f (x) = \frac{2}{3} (x^{2} + 1)^{\frac{3}{2}}

y^{''}+y=0,y(pi/3)=0,y^'(pi/3)=6

y^{^{''}} + y = 0, y (\frac{π}{3}) = 0, y^{^{'}} (\frac{π}{3}) = 6