Question

find the value of d/dx (tanx)​

Answer 1

Answer:

sec²x is ur answer here...hope u will get

Answer 2

Question :- find the value of d/dx (tan x) ?

Solution :-

→ f(x) = (tan x)

using tan x = sin x / cos x ,

→ f'(x) = (sin x / cos x)

using quotient rule now we get,

→ f'(x) = [d/dx (sin x) * cos x - sin x * d/dx( cos x)] / (cos x)²

→ f'(x) = [{cos x * cos x - sin x * (- sin x)}/ cos ²x]

→ f'(x) = (cos² x + sin ² x) / cos²x

using sin²A + cos²A = 1 in numerator,

→ f'(x) = (1/ cos ²x)

using (1/cosA) = sec A ,

→ f'(x) = sec² x (Ans.)

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