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If f(x)={{:(,x-5 "for "x le 1),(,4x^(2)-...

If f(x)=`{{:(,x-5 "for "x le 1),(,4x^(2)-9"for "1 lt x lt 2"then "f'(2')),(,3x+4"for "xge2):}`

A

0

B

2

C

3

D

4

Text Solution

Verified by Experts

The correct Answer is:
C
`f'(2^(+)) = underset(x to 2^(+))lim ((f(x) -f(2))/(x-2)) = underset(x to 2^(+))lim (3x + 4 - (6 +4))/(x -2)`
` = underset(x to 2)lim (3x -6)/(x-2) = 3 `
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-DIFFERENTIATION -MHT CET CORER
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