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Popular >

derivative of sin(cos(tan(x)))

Solution

derivative of

sin (cos (tan (x)))

Solution

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

Solution steps

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

Apply the chain rule:

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

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

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

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

Simplify

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

Popular Examples

derivative of sqrt(1+cos(2x))

\frac{d}{d x} (1 + cos (2 x))

derivative of y=\sqrt[5]{x^4}derivative of

implicit ln(xy^9)=xy implicit derivative

ln (x y^{9}) = x y

integral of (x^3)/(27)-4/9 x^2+4/3 x+1

\int \frac{x ^{3}}{27} - \frac{4}{9} x^{2} + \frac{4}{3} x + 1 d x

derivative of-3/(sqrt(x^5))

\frac{d}{d x} (- \frac{3}{x ^{5}})

Frequently Asked Questions (FAQ)

What is the derivative of sin(cos(tan(x))) ?
The derivative of sin(cos(tan(x))) is -sec^2(x)cos(cos(tan(x)))sin(tan(x))
What is the first derivative of sin(cos(tan(x))) ?
The first derivative of sin(cos(tan(x))) is -sec^2(x)cos(cos(tan(x)))sin(tan(x))