The discussion revolves around finding the derivative of the function f(x) = tan(2x) at the point x = π/6 without using a calculator. Participants are exploring the application of differentiation rules, particularly the chain rule, in the context of trigonometric functions.
The discussion is active, with participants raising questions about the derivative and how to simplify it. There is a hint provided regarding the chain rule, and participants are encouraged to recall trigonometric values. However, no consensus has been reached on the approach to take.
There is an emphasis on the requirement to memorize certain trigonometric values and functions, which may influence the participants' approaches to solving the problem. The discussion also reflects a constraint of not using calculators.
The derivative of tan(pi/3) is zero. tan(pi/3) is a constant, and the derivative of any constant is zero.SAT2400 said:Homework Statement
If f(x)= tan(2x), then f'(pi/6) =
Homework Equations
deriv. of tan(pi/3)
Yes. There are a few angles whose trig functions you should have memorized - 0, pi/6, pi/4, pi/3, pi/2, as well as their supplements and combinations with pi/2, pi, and so on. You should also have memorized all of the six trig functions in terms of the sine or cosine.SAT2400 said:The Attempt at a Solution
How can I solve this? I am not supposed to use a calculator?? tan(pi/3) ...am I supposed to memorize this?
jav said:And now how can you simplify that using the definition of sec?