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Popular >

derivative of y=sin(sin(sin(x)))

Solution

derivative of

y = 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

limit as x approaches 5 of xsqrt(29-x^2)

x \to 5 lim (x 29 - x^{2})

derivative of e^tsin(3t)derivative of

e^{t} sin (3 t)

integral of sin^6(2x)cos^3(2x)

\int sin^{6} (2 x) cos^{3} (2 x) d x

(\partial)/(\partial x)(xy-z^2+17x^2z)

\frac{\partial}{\partial x} (x y - z^{2} + 17 x^{2} z)

tangent of y=-x^2+4x+2,(3,5)tangent of

y = - x^{2} + 4 x + 2, (3, 5)

Frequently Asked Questions (FAQ)

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