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Prove that f(x) = sin x + sqrt3 cos x ha...

Prove that `f(x) = sin x + sqrt3` cos x has maximum value at x = `pi//6`

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PRADEEP PUBLICATION-APPLICATIONS OF DERIVATIVES-EXERCISE
  1. Find the maximum value of sin x cos x.

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  2. Find the maximum vlaue (1)/(x^2 + x + 1), x in R

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  3. Prove that f(x) = sin x + sqrt3 cos x has maximum value at x = pi//6

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  4. Write down the maximum value of a sin x + b cos x, x in R.

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  5. Does the function f(x) = 3^x have any extreme point?

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  6. Using differentials, find the approximate value of sqrt(0.082)

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  7. Find the minimum value of f(x) = x - x^2

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  8. What is the minimum value of x^x , x > 0?

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  9. Find the maximum value of f(X) = 2x^2 - x +1

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  10. If f(X) attains a local minimum value at x = c and f"(c )> 0, then wha...

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

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

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

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

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

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

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

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

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

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

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