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JEE MATHEMATICS MCQ: DIFFERENTIATION

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Analyzing +4 | -1
Let ff be a differentiable function satisfying f(x)+f(y)+f(z)+f(x)f(y)f(z)=14f(x)+f(y)+f(z)+f(x) f(y) f(z)=14 for all x,y,z∈Rx, y, z \in R Then,
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Correct option: B
f′(x)=0f^{\prime}(x)=0 for all x∈Rx \in R
Option D (All the above) is correct because all three given statements are true based on the given functions and their derivatives.

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