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Popular >

derivative of f(x)=sin(sin(sin(x)))

Solution

derivative of

f (x) = 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)

Graph

Popular Examples

derivative of ln((x^2-7/x))

\frac{d}{d x} (ln (\frac{x ^{2} - 7}{x}))

limit as x approaches 0 of ((x+h)^3-x)/h

x \to 0 lim (\frac{( x + h ) ^{3} - x}{h})

(dy)/(dx)+y=e^{3x}

\frac{d y}{d x} + y = e^{3 x}

(\partial)/(\partial x)(2x^3-54x-2y^2-12y)

\frac{\partial}{\partial x} (2 x^{3} - 54 x - 2 y^{2} - 12 y)

integral of (3x^2)/(2x^3+1)

\int \frac{3 x ^{2}}{2 x ^{3} + 1} d x

Frequently Asked Questions (FAQ)

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