Find the derivative of f(tan x) w.r.t. g (sec x) at `x=(pi)/(4),` where f'(1)=2 and `g'(sqrt(2))=4.`

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The derivative of tan^(-1)x w.r.t cot^(-1) x is

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If f^(prime)(1)=-2sqrt(2)a n dg^(prime)(sqrt(2))=4 , then the derivative of f(tanx) with respect to g(secx) at x=pi/4, is 1 (b) -1 (c) 2 (d) 4

Find derivative of f(e^("tan"x)) w.r.t. x at x = 0. It is given that f(1) = 5

If f^(prime)(1)=-2sqrt(2) and g^(prime)(sqrt(2))=4 , then the derivative of f(tanx) with respect to g(secx) at x=pi/4, is: (a)1 (b) -1 (c) 2 (d) 4

Find the derivative of sec^(-1)(1/(2x^2-1)) w.r.t sqrt(1-x^2) at x=1/2

Find the derivative of tan^(-1)(2x)/(1-x^2) w.r.t sin^(-1)(2x)/(1+x^2)

Find the derivative of sec^(-1)((1)/(2x^(2)-1))" w.r.t. "sqrt(1-x^(2))" at "x=(1)/(2).

Find the range of f(x)=sec(pi/4cos^2x), where -oo