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  4. A ladder, 5 meter long, standing on a horizontal floor, leans against a vertical wall. If the top of the ladder slides downwards at the rate of 10 cm/sec, then the rate at which the angle between the floor and the ladder is decreasing when lower end of ladder is 2 metres from the wall is

Q. A ladder, meter long, standing on a horizontal floor, leans against a vertical wall. If the top of the ladder slides downwards at the rate of , then the rate at which the angle between the floor and the ladder is decreasing when lower end of ladder is metres from the wall is

Application of Derivatives Report Error

Solution:

Given ,
and Length of ladder
Let
Now
Diff w.r.t. , we get





rad/s.

Questions from Application of Derivatives

1. Let
• Column 1 contains information about zeros of and .
• Column 2 contains information about the limiting behavior of and at infinity.
• Column 3 contains information about increasing/decreasing nature of and .
Column 1 Column 2 Column 3
(I) for some (i) (P) is increasing in ()
(II) for some (ii) (Q) is decreasing in ()
(III) for some (ii) (R) is increasing in ()
(IV) for some (ii) (S) is decreasing in ()

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