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True or False statements: Fermat Theor...

True or False statements:
Fermat Theorem If a function f has a local extremum at x = c, then f" (C ) = 0.

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. True or False statements: The function f(X) = log(1//4) x is strict ...

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  2. True or False statements: If a function f has an extreme point at x ...

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  3. True or False statements: Fermat Theorem If a function f has a loca...

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  4. True or False statements: Tangent to the curve y = x^2 at x = 0 is p...

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  5. True or False statements: The function f(X) = x|x| is strictly incre...

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  6. True or False statements: A strict monotone function is always one-o...

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  7. True or False statements: A one-one function is always an increasing...

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  8. True or False statements: The function f(x) = 1/3 x^3 - x is strictl...

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  9. True or False statements: The function f(x) = x^(1/3) is a strict in...

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  10. True or False statements: If a function f is twice differentiable at...

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  11. True or False statements: For any function f a local maximum value i...

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  12. True or False statements: If a function f is such that f' (c ) = 0, ...

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  13. True or False statements: e^pi < pi ^e

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  14. The function f(x) = x^2, x inR has no maximum value.

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  15. True or False statements: Maximum value of the function f(x) = 3 sin...

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  16. True or False statements: Maximum value of the function f(x) = sin^4...

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  17. True or False statements: The angle between the tangents to the curv...

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  18. True or False statements: For x in (0, pi/2), sin x lt x lt tan x.

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  19. True or False statements: There is a unique real number x > 0 such t...

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  20. True or False statements : If and B are invertible matrices such tha...

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