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Popular Calculus >

derivative of 2tan(x+pi/(12))

Solution

\frac{d}{d x} (2 tan (x + \frac{π}{12}))

Solution

2 sec^{2} (x + \frac{π}{12})

Solution steps

\frac{d}{d x} (2 tan (x + \frac{π}{12}))

Take the constant out:

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

= 2 \frac{d}{d x} (tan (x + \frac{π}{12}))

Apply the chain rule:

sec^{2} (x + \frac{π}{12}) \frac{d}{d x} (x + \frac{π}{12})

= sec^{2} (x + \frac{π}{12}) \frac{d}{d x} (x + \frac{π}{12})

\frac{d}{d x} (x + \frac{π}{12}) = 1

= 2 sec^{2} (x + \frac{π}{12}) \cdot 1

Simplify

= 2 sec^{2} (x + \frac{π}{12})

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of 2tan(x+pi/(12)) ?
The derivative of 2tan(x+pi/(12)) is 2sec^2(x+pi/(12))
What is the first derivative of 2tan(x+pi/(12)) ?
The first derivative of 2tan(x+pi/(12)) is 2sec^2(x+pi/(12))