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If a function f(x) has a local extremum ...

If a function f(x) has a local extremum at a point x = c, then what can be said about f' (c)?

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
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  2. If f(X) attains a local minimum value at x = c and f"(c )> 0, then wha...

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  3. If a function f(x) has a local extremum at a point x = c, then what ca...

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  4. If x>0, what is the minimum value of x + 4/x

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  5. If x<0, what is the maximum value of x + 1/x

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  6. For what value of x, does the function f(x) = x^(2//3) have a local mi...

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  7. Is every critical point, a point of local maximum or local minimum.

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  8. Write down the minimum value of sqrt3 sin x + cos x

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  9. Discuss the local maximum or minimum of f(x) = x^3 at x = 0

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  10. The amount of pollution content added in air in a city due to x-d i e ...

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  11. Find the rate of change of the area of a circle with respect to its ra...

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  12. Find the rate of change of the area of a circle with respect to its ra...

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  13. The volume of a cube is increasing at the rate of 8 cm^3/s. How fast i...

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  14. The radius of a circle is increasing uniformly at the rate of 3 cm/s. ...

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  15. An edge of a variable cube is increasing at the rate of 3 cm/s. How fa...

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  16. A stone is dropped into a quiet lake and waves move in circles at a sp...

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  17. The radius of a circle is increasing at the rate of 0.7 cm/s. What is ...

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  18. The length 'x' of a rectangle is decreasing at the rate of 5 cm per mi...

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  19. The length x of a rectangle is decreasign at the rate of 5 cm/min and ...

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  20. A balloon which always remains spherical is being inflated by .pumping...

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