What is the derivative of y(pi/(21))=2tan^2(7x) ?

The derivative of y(pi/(21))=2tan^2(7x) is 28sec^2(7x)tan(7x)

What is the first derivative of y(pi/(21))=2tan^2(7x) ?

The first derivative of y(pi/(21))=2tan^2(7x) is 28sec^2(7x)tan(7x)

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derivative of

y (\frac{π}{21}) = 2 tan^{2} (7 x)

28 sec^{2} (7 x) tan (7 x)

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the chain rule:

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

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

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

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

Simplify

= 28 sec^{2} (7 x) tan (7 x)

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

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

\int 15 e^{x} d x

\frac{\partial}{\partial u ( v )} (e^{2 u (v) v})

- \frac{1}{x}, at x = 3

What is the derivative of y(pi/(21))=2tan^2(7x) ?
The derivative of y(pi/(21))=2tan^2(7x) is 28sec^2(7x)tan(7x)
What is the first derivative of y(pi/(21))=2tan^2(7x) ?
The first derivative of y(pi/(21))=2tan^2(7x) is 28sec^2(7x)tan(7x)