Please solve RD Sharma class 12 chapter Increasing and Decreasing Functions exercise 16.2 question 13 maths textbook solution
Answer:
f(x) is decreasing on (0,) and increasing on (-
,0) and neither increasing nor decreasing on (-
,
).
Given:
To show:
We have to show that f(x) is decreasing on (0,) and increasing on (-
,0) and neither increasing nor decreasing on (-
,
).
Hint:
Solution:
Given
On differentiating both sides w.r.t x we get
Taking different region from - to
.
By applying negative sign change comparison sign.
Thus f(x) is decreasing (0,)
By applying negative sign change comparison sign.
Thus f(x) is increasing (-,0).
Therefore from above condition we find that
?f(x) is decreasing in (0, ) and increasing in (-
,0)
Hence, f(x) is neither increasing nor decreasing in (-,
)