What is the derivative of y=sin(tan(3x)) ?

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

What is the first derivative of y=sin(tan(3x)) ?

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

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derivative of

y = sin (tan (3 x))

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

Solution steps

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

Apply the chain rule:

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

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

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

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

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\frac{\partial}{\partial x} (cos^{7} (x^{6} y^{6}))

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