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Given the function f(x)= 2tanx, determine the instantaneous rate of change of f at x=2pi/3 using the limit shown below.

User Koolmees
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1 Answer

8 votes
8 votes

Answer:

8

Explanation:

First, let's find the derivative of the equation.

According to one of the rules of derivatives, d/dx tan(x) = sec²(x)

We also don't mess with the 2 since it's a constant

f'(x) = 2sec²(x)

Now just plug in 2π/3

2sec²(2π/3) = 8

Instantaneous rate of change is 8 at x = 2π/3

User LemonCool
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