Let f ( x ) = x x , x ∉ Z , ( [ · ] denotes greatest integer function), then f ' x is equal to

We have, f ( x ) = x x ∴ x is an integer. ⇒ f x = p x ∵ [ x ] = p ⇒ f ' x = p = x ∴ f ' x = x

Mathematics - Differentiation Question with Solution | TestHub

MathematicsDifferentiationDifferentiation of composite functionsMedium2 minPYQ_2019

MathematicsMediumsingle choice

Let $f (x) = x [x], x \notin Z$ , ( $[\cdot]$ denotes greatest integer function), then $f^{'} (x)$ is equal to

Answer:

Solution:

We have, $f (x) = x [x]$

$∴ [x]$ is an integer.

$\Rightarrow f (x) = p x [∵ [x] = p]$

$\Rightarrow f^{'} (x) = p = [x]$

$∴ f^{'} (x) = [x]$

Stream:BITSATSubject:MathematicsTopic:DifferentiationSubtopic:Differentiation of composite functions

⏱ 2mℹ️ Source: PYQ_2019

Loading discussions...