1
JEE Main 2019 (Online) 12th January Evening Slot
+4
-1
Let f be a differentiable function such that f(1) = 2 and f '(x) = f(x) for all x $$\in$$ R R. If h(x) = f(f(x)), then h'(1) is equal to :
A
4e
B
2e2
C
4e2
D
2e
2
JEE Main 2019 (Online) 12th January Morning Slot
+4
-1
$$\mathop {\lim }\limits_{x \to \pi /4} {{{{\cot }^3}x - \tan x} \over {\cos \left( {x + {\pi \over 4}} \right)}}$$ is :
A
$$8\sqrt 2$$
B
4
C
$$4\sqrt 2$$
D
8
3
JEE Main 2019 (Online) 12th January Morning Slot
+4
-1
Let S be the set of all points in (–$$\pi$$, $$\pi$$) at which the function, f(x) = min{sin x, cos x} is not differentiable. Then S is a subset of which of the following ?
A
$$\left\{ { - {\pi \over 2}, - {\pi \over 4},{\pi \over 4},{\pi \over 2}} \right\}$$
B
$$\left\{ { - {{3\pi } \over 4}, - {\pi \over 2},{\pi \over 2},{{3\pi } \over 4}} \right\}$$
C
$$\left\{ { - {\pi \over 4},0,{\pi \over 4}} \right\}$$
D
$$\left\{ { - {{3\pi } \over 4}, - {\pi \over 4},{{3\pi } \over 4},{\pi \over 4}} \right\}$$
4
JEE Main 2019 (Online) 11th January Evening Slot
+4
-1
Let K be the set of all real values of x where the function f(x) = sin |x| – |x| + 2(x – $$\pi$$) cos |x| is not differentiable. Then the set K is equal to :
A
{0, $$\pi$$}
B
$$\phi$$ (an empty set)
C
{ r }
D
{0}
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