What is the derivative of y=sin(tan(7x)) ?

The derivative of y=sin(tan(7x)) is cos(tan(7x))sec^2(7x)*7

What is the first derivative of y=sin(tan(7x)) ?

The first derivative of y=sin(tan(7x)) is cos(tan(7x))sec^2(7x)*7

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derivative of

y = sin (tan (7 x))

cos (tan (7 x)) sec^{2} (7 x) \cdot 7

Solution steps

\frac{d}{d x} (sin (tan (7 x)))

Apply the chain rule:

cos (tan (7 x)) \frac{d}{d x} (tan (7 x))

= cos (tan (7 x)) \frac{d}{d x} (tan (7 x))

\frac{d}{d x} (tan (7 x)) = sec^{2} (7 x) \cdot 7

= cos (tan (7 x)) sec^{2} (7 x) \cdot 7

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What is the derivative of y=sin(tan(7x)) ?
The derivative of y=sin(tan(7x)) is cos(tan(7x))sec^2(7x)*7
What is the first derivative of y=sin(tan(7x)) ?
The first derivative of y=sin(tan(7x)) is cos(tan(7x))sec^2(7x)*7