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Popular >

derivative of sin(sin(sin(x)))

Solution

derivative of

sin (sin (sin (x)))

Solution

cos (sin (sin (x))) cos (sin (x)) cos (x)

Solution steps

\frac{d}{d x} (sin (sin (sin (x))))

Apply the chain rule:

cos (sin (sin (x))) \frac{d}{d x} (sin (sin (x)))

= cos (sin (sin (x))) \frac{d}{d x} (sin (sin (x)))

\frac{d}{d x} (sin (sin (x))) = cos (sin (x)) cos (x)

= cos (sin (sin (x))) cos (sin (x)) cos (x)

Popular Examples

limit as x approaches-5+of-(9x)/(x+5)

x \to - 5 + lim (- \frac{9 x}{x + 5})

derivative of (3e^x/(2e^x+1))

\frac{d}{d x} (\frac{3 e ^{x}}{2 e ^{x} + 1})

(\partial)/(\partial x)(xe^{2y}sin(6z))

\frac{\partial}{\partial x} (x e^{2 y} sin (6 z))

integral from 0 to t of t^2e^{-3t}

\int_{0}^{t} t^{2} e^{- 3 t} d t

(\partial)/(\partial x)(2(y-1)(x+1))

\frac{\partial}{\partial x} (2 (y - 1) (x + 1))

Frequently Asked Questions (FAQ)

What is the derivative of sin(sin(sin(x))) ?
The derivative of sin(sin(sin(x))) is cos(sin(sin(x)))cos(sin(x))cos(x)
What is the first derivative of sin(sin(sin(x))) ?
The first derivative of sin(sin(sin(x))) is cos(sin(sin(x)))cos(sin(x))cos(x)