Determining derivatives of trigonometric functions \(\displaystyle\lim_{{{x}\to\frac{\pi}{{4}}}}{\frac{{{\tan{{x}}}-{1}}}{{{4}{x}-\pi}}}\) the value of

Arianna Villegas

Arianna Villegas

Answered question

2022-03-25

Determining derivatives of trigonometric functions
limxπ4tanx14xπ
the value of f'(a)?

Answer & Explanation

mhapo933its

mhapo933its

Beginner2022-03-26Added 9 answers

In general
f(a)=limxaf(x)f(a)xa
With this in mind, rewrite your limit as
14limxπ4tanxtan(π4)xπ4
Charlie Haley

Charlie Haley

Beginner2022-03-27Added 14 answers

The way you would BEGIN solving this problem is to bear in mind that
f(a)=limxaf(x)f(a)xa
In the denominator you have 4xπ , so you can write
4xπ=14xπ4.
That should suggest what number a is.

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