What is the derivative of cos(tan(6x)) ?

The derivative of cos(tan(6x)) is -sin(tan(6x))sec^2(6x)*6

What is the first derivative of cos(tan(6x)) ?

The first derivative of cos(tan(6x)) is -sin(tan(6x))sec^2(6x)*6

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\frac{d}{d x} (cos (tan (6 x)))

- sin (tan (6 x)) sec^{2} (6 x) \cdot 6

Solution steps

\frac{d}{d x} (cos (tan (6 x)))

Apply the chain rule:

- sin (tan (6 x)) \frac{d}{d x} (tan (6 x))

= - sin (tan (6 x)) \frac{d}{d x} (tan (6 x))

\frac{d}{d x} (tan (6 x)) = sec^{2} (6 x) \cdot 6

= - sin (tan (6 x)) sec^{2} (6 x) \cdot 6

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What is the derivative of cos(tan(6x)) ?
The derivative of cos(tan(6x)) is -sin(tan(6x))sec^2(6x)*6
What is the first derivative of cos(tan(6x)) ?
The first derivative of cos(tan(6x)) is -sin(tan(6x))sec^2(6x)*6