What is the derivative of cos(tan(3x)) ?

The derivative of cos(tan(3x)) is -sin(tan(3x))sec^2(3x)*3

What is the first derivative of cos(tan(3x)) ?

The first derivative of cos(tan(3x)) is -sin(tan(3x))sec^2(3x)*3

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\frac{d}{d x} (cos (tan (3 x)))

- sin (tan (3 x)) sec^{2} (3 x) \cdot 3

Solution steps

\frac{d}{d x} (cos (tan (3 x)))

Apply the chain rule:

- sin (tan (3 x)) \frac{d}{d x} (tan (3 x))

= - sin (tan (3 x)) \frac{d}{d x} (tan (3 x))

\frac{d}{d x} (tan (3 x)) = sec^{2} (3 x) \cdot 3

= - sin (tan (3 x)) sec^{2} (3 x) \cdot 3

y^{^{''}} - y^{^{'}} - 12 y = - 5 e^{3 t}, y (0) = 0, y^{^{'}} (0) = 0

\frac{d}{d x} (- 2 x + 4)

x \to 3 - lim (x)

\frac{d}{d x} ((- x^{2} - 2 x - 2)^{3})

sec^{2} (2 t)

What is the derivative of cos(tan(3x)) ?
The derivative of cos(tan(3x)) is -sin(tan(3x))sec^2(3x)*3
What is the first derivative of cos(tan(3x)) ?
The first derivative of cos(tan(3x)) is -sin(tan(3x))sec^2(3x)*3