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Let f (x) =|2x-9|+|2x+9|. Which of the f...

Let `f (x) =|2x-9|+|2x+9|.` Which of the following are true ?

A

f (x) is not differerntiable at `x=9/2`

B

f (x) is not differentiable at `x = (-9)/(2)`

C

f (x) is not diffentiable at `x=0`

D

f (x) is differentiable at `x = (-9)/(2), 0, (9)/(2)`

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The correct Answer is:
A, B, C
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VK JAISWAL ENGLISH-CONTINUITY, DIFFERENTIABILITY AND DIFFERENTIATION-EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
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  3. Let f (x) =|2x-9|+|2x+9|. Which of the following are true ?

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  4. Let f (x)= max (x,x ^(2) x ^(3)) in -2 le x le 2. Then:

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  7. let the function f be defined by f (x)= {{:(p+ qx+ x^(2)"," , x lt 2),...

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  8. Let y=e^x s in x^3+(t a n x)^xdotF in d(dy)/(dx)dot

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  10. Let f (x)= [{:(x ^(2)+a,0 le x lt 1),( 2x+b,1le x le 2):}and g (x)=[{:...

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  11. If f (x)= [{:((sin [x^(2)]pi)/(x ^(2)-3x+8)+ax ^(3)+b,,, 0 le x le 1),...

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  12. If f (x)= {{:(1+x, 0 le x le 2),( 3x-2, 2 lt x le 3):}, then f (f(x)) ...

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  13. Let f (x)=(x+1) (x+2) (x+3)…..(x+100) and g (x) =f (x) f''(x) -f'(x) ...

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  14. If f(x)={|x|-3 x < 1|x-2|+a x >= 1 & g(x)={2-|x| x < 2 sgn(x)-b x >= 2...

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  16. f (x) is differentiable function satisfying the relationship f ^(2) (x...

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  17. The function f (x)=[sqrt(1-sqrt(1-x ^(2)))],(where [.] denotes greates...

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