tan pi/6

Evaluate the limit as h -> 0 of:

[tan (pi/6 + h) – tan(pi/6)]

/h

I thought the answer was √3/3, or tan(pi/6, but apparently that is wrong, any tips here?

1 0 497
asked by Anonymous
Nov 11, 2007
the basic definition of the derivative of any function f(x) is
Lim [f(x+h) – f(x)]/h as h –> 0

this is exactly the pattern we are looking at.
So what they are asking for is the derivative of
tan x when x = pi/6

let y = tan x
then dy/dx = sec^2 x
= sec^2 (pi/6) or sec^2 30º
= 4/3

( cos 30º = √3/2
sec 30º = 2/√3
sec ^2 30º = 4/3 )

1 0
posted by Reiny
Nov 11, 2007
Thanks, I just forgot to do the dy/dx of tan x.

0 0
posted by Anonymous
Nov 11, 2007
12 year old thread but still saved my grade Thanks

0 0
posted by Anonymous
Jan 27, 2019

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