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Questions › IIT JAM › IIT JAM 2025 › Q51
2 marksMathematics › Limits, continuity and differentiability › Implicit, logarithmic and higher-order differentiationHardabout 3 min

IIT JAM 2025 Question 51: Limits, continuity and differentiability

The value of the derivative of the function y=xexy=x^{e^x}y=xex at x=1x=1x=1 is ________ (rounded off to two decimal places).

Answer and worked solution

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Plain-text version

The value of the derivative of the function y=x^(e^x) at x=1 is (*rounded off to two decimal places*).

Limits, continuity and differentiability has come up 122 times in 7 exams since 2006.

What this question tests

This question is on Implicit, logarithmic and higher-order differentiation, part of Limits, continuity and differentiability in Mathematics.

Differentiating relations that are not solved for y, and taking second and higher derivatives.

TestStop has 9 past-paper questions on this subtopic; the nearest in year are below.

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Question from the IIT JAM 2025 paper. Solutions are TestStop's own. Not affiliated with or endorsed by any examination authority.