1

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MCQ (Single Correct Answer)

+4

-1

If e

^{y}+ xy = e, the ordered pair $$\left( {{{dy} \over {dx}},{{{d^2}y} \over {d{x^2}}}} \right)$$ at x = 0 is equal to :2

JEE Main 2019 (Online) 10th April Evening Slot

MCQ (Single Correct Answer)

+4

-1

Let f(x) = log

_{e}(sin x), (0 < x < $$\pi $$) and g(x) = sin^{–1}(e^{–x}), (x $$ \ge $$ 0). If $$\alpha $$ is a positive real number such that a = (fog)'($$\alpha $$) and b = (fog)($$\alpha $$), then :3

JEE Main 2019 (Online) 8th April Evening Slot

MCQ (Single Correct Answer)

+4

-1

If ƒ(1) = 1, ƒ'(1) = 3, then the derivative of
ƒ(ƒ(ƒ(x))) + (ƒ(x))

^{2 }at x = 1 is :4

JEE Main 2019 (Online) 8th April Morning Slot

MCQ (Single Correct Answer)

+4

-1

If $$2y = {\left( {{{\cot }^{ - 1}}\left( {{{\sqrt 3 \cos x + \sin x} \over {\cos x - \sqrt 3 \sin x}}} \right)} \right)^2}$$,

x $$ \in $$ $$\left( {0,{\pi \over 2}} \right)$$ then $$dy \over dx$$ is equal to:

x $$ \in $$ $$\left( {0,{\pi \over 2}} \right)$$ then $$dy \over dx$$ is equal to:

Questions Asked from Differentiation (MCQ (Single Correct Answer))

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