Non-zero real constants|Monotonicity|JEE MAIN 2019

JEE MAIN 2019

11-01-2019 S2

Question

Let $f(x)=\frac{x}{\sqrt{a^2+x^2}}-\frac{(d-x)}{\sqrt{b^2+(d-x)^2}}, x \in R$ where $a, b$ and $d$ are non-zero real constants. Then :

Select the correct option:

f is an increasing function of x

f is a decreasing function of x

f is neither increasing nor decreasing function of x

$ f^{\prime} $ is not a continuous function of x

✓ Correct! Well done.

✗ Incorrect. Try again or view the solution.

Solution

Question Tags

JEE Main

Mathematics

Hard

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