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Fill in the blanks:
If a function f has a local maximum at x = c and f" (c ) < 0, then f' (c ) is equal to __________.

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Fill in the blanks: Maximum value of the function f(X) = (1)/(4x^2 +...

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  2. Fill in the blanks: If a function f is the differentiable at c such ...

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  3. Fill in the blanks: If a function f has a local maximum at x = c and...

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  4. Fill in the blanks: For x> 0, the function f(x) = log(1//3) x is a s...

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  5. Minimum value of f if f(x)=sinx in [-pi/2, pi/2] is ................. ...

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  6. Fill in the blanks: The maximum value of sin x + cos x, x in R, is .

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  7. Fill in the blanks: The equation of normal to the curve y = tan x at...

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  8. Fill in the blanks: The curves y = 4x^2 + 2x - 8 and y = x^3 - x + 1...

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  9. Fill in the blanks: At (0,0) the curves y =x^2 and y^2 = x

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  10. Fill in the blanks: The function f(X) =(2x^2-1)/(x^4). X> 0 is a dec...

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  11. The least of the function f(x)=ax+b/x (a gt 0, b gt 0, x gt 0) is .......

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  12. The values of a for which the function f(x)=sinx-ax+b increases on R a...

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  13. Fill in the blanks: The equation of the tangent to the curve y = e^(...

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  14. Is the function f(x) =x^2, xinR increasing?

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  15. True or False statements: The rate of change of sin x w.r.t. cos x i...

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

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  17. True or False statements: The function f(X) = log(1//4) x is strict ...

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

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

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

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