The derivative of f-tanx- w-r-t- g-secx- at x -4 where f-1- - 2 and g-2- 4 is -1- 1-2- -2- -2- -3- 1 -4- 1-

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The derivativ...

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The derivative of f(tanx) w.r.t. g(secx) at x =π/4 where f'(1) = 2 and g'(\sqrt2)= 4 is (1) 1/\sqrt2 (2) \sqrt2 (3) 1 (4) 1/

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f (tan x)

g (sec x)

x = \frac{π}{4},

f^{'} (1) = 2

g^{'} (\sqrt{2}) = 4,

f (tan x)

g (sec x)

x = \frac{π}{4}

f^{'} (1) = 2; g^{'} (\sqrt{2}) = 4

(\sqrt{2})

\frac{π}{4}

u = f (cot x)

v = g (cosec x)

f^{'} (1) = \sqrt{2}

g^{'} (\sqrt{2}) = 2

{(\frac{d u}{d v})}_{x = \frac{π}{4}} = 1

u = f (x), v = g (x)

f

g

\frac{d u}{d v} = \frac{d u / d x}{d v / d x}

n ϵ N

f (x) = m i n {1 - {tan}^{n} x, 1 - {sin}^{n} x, 1 - x^{n}}

x ϵ (- \frac{π}{2}, \frac{π}{2})

f

x = \frac{π}{4}

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