GATE CS 2014 Set 1 — Question 56
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Engineering Mathematics → Calculus → Differentiation
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Question
The function satisfies the following equation: . The value of is ________.
Correct answer
-2
Solution
Given .
First derivative:Second derivative:Substitute and into the given equation:For this to be true for all , the coefficient of must be zero:
First derivative:Second derivative:Substitute and into the given equation:For this to be true for all , the coefficient of must be zero:
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