What is the derivative of cos(tan(x)) ?

The derivative of cos(tan(x)) is -sin(tan(x))sec^2(x)

What is the first derivative of cos(tan(x)) ?

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

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derivative of

cos (tan (x))

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

Solution steps

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

Apply the chain rule:

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

= - sin (tan (x)) \frac{d}{d x} (tan (x))

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

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

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