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Differentiation question

2019 · 11 Jan · Shift 1 · Q21

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PYQ Library
JEE Main
Mathematics
Differentiation
2019 · 11 Jan · Shift 1 · Q21

Differentiation question

2019 · 11 Jan · Shift 1 · Q21

JEE MainMathematicsDifferentiationMCQ+4 / −1

If xloge(logex)

-

x2 + y2 = 4(y > 0), then

{{dy} \over {dx}}

at x = e is equal to :

A
${{\left( {1 + 2e} \right)} \over {2\sqrt {4 + {e^2}} }}$
B
${{\left( {1 + 2e} \right)} \over {\sqrt {4 + {e^2}} }}$
C
${{\left( {2e - 1} \right)} \over {2\sqrt {4 + {e^2}} }}$
D
${e \over {\sqrt {4 + {e^2}} }}$

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