Let f(x)= x a^ 2 +x^ 2 - d-x b^ 2 +(d-x)^ 2 , x F , where a, b and d are non-zero real…
Mathematics · JEE Main · NTA Exams — Limit, Continuity and Differentiability
Let \(f(x)=\frac{x}{\sqrt{a^{2}+x^{2}}}-\frac{d-x}{\sqrt{b^{2}+(d-x)^{2}}}, x \in F\), where a, b and d are non-zero real constants. Then:
- f is an increasing function of x
- f is neither increasing nor decreasing function of x
- f is not a continuous function of x
- f is a decreasing function of x
Answer
(D) f is a decreasing function of x
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