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I : If f'(a)gt0 then f is increasing at ...

I : If `f'(a)gt0` then f is increasing at x=a
II : If f is increasing at x=a then f(a) need not to be positive which of the above statements are true

A

only I

B

only II

C

both I and II

D

neither I nor II

Text Solution

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The correct Answer is:
C
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AAKASH SERIES-MAXIMA AND MINIMA -PRACTICE SHEET (EXERCISE -I) (LEVEL -I) (STRAIGHT OBJECTIVE TYPE QUESTIONS)
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  7. f(x)=sinx-ax is decreasing in R if

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  8. tan x gt x when x lies in

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  9. f(x)=2x-Tan^(-1)x-log(x+sqrt(1+x^(2))(xgt0) is increasing in

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  12. The function f(x)=cosx-2lambda x is monotonicallly decreasing when

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  13. The function f(x)=Tan^(-1) (sinx+cosx) is an increasing function in

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  14. On which the following intervals in the function x^(100)+sinx-1 decre...

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  17. Let f(x)=xsqrt(4ax-x^(2)),(agt0) . Then f(x) is

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  18. If phi(x) is polynomial function and phi(x)gtphi(x)AAxge1andphi(1)=0,t...

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