What is the derivative of y=sin(cos(tan(pix))) ?

The derivative of y=sin(cos(tan(pix))) is -pisec^2(pix)cos(cos(tan(pix)))sin(tan(pix))

What is the first derivative of y=sin(cos(tan(pix))) ?

The first derivative of y=sin(cos(tan(pix))) is -pisec^2(pix)cos(cos(tan(pix)))sin(tan(pix))

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derivative of

y = sin (cos (tan (π x)))

- π sec^{2} (π x) cos (cos (tan (π x))) sin (tan (π x))

Solution steps

\frac{d}{d x} (sin (cos (tan (π x))))

Apply the chain rule:

cos (cos (tan (π x))) \frac{d}{d x} (cos (tan (π x)))

= cos (cos (tan (π x))) \frac{d}{d x} (cos (tan (π x)))

\frac{d}{d x} (cos (tan (π x))) = - sin (tan (π x)) sec^{2} (π x) π

= cos (cos (tan (π x))) (- sin (tan (π x)) sec^{2} (π x) π)

Simplify

= - π sec^{2} (π x) cos (cos (tan (π x))) sin (tan (π x))

What is the derivative of y=sin(cos(tan(pix))) ?
The derivative of y=sin(cos(tan(pix))) is -pisec^2(pix)cos(cos(tan(pix)))sin(tan(pix))
What is the first derivative of y=sin(cos(tan(pix))) ?
The first derivative of y=sin(cos(tan(pix))) is -pisec^2(pix)cos(cos(tan(pix)))sin(tan(pix))