What is the derivative of y=sin(tan(6x)) ?

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

What is the first derivative of y=sin(tan(6x)) ?

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

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derivative of

y = sin (tan (6 x))

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

Solution steps

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

Apply the chain rule:

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

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

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

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

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