Differentiation
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Question : 4 of 78
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Let f : ℝ ⟶ ℝ be a twice differentiable function such that ( s i n x cos y ) ( f ( 2 x + 2 y ) − f ( 2 x − 2 y ) ) = ( cos x s i n y ) ( f ( 2 x + 2 y ) + f ( 2 x − 2 y ) ) , for all x , y ∈ ℝ . If f ′ ( 0 ) =
, then the value of 24 f ′ ′ (
) is:
[2 Apr 2025 Shift 1]
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