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The function f(x)=2x^3-15 x^2+36 x+4 is ...

The function `f(x)=2x^3-15 x^2+36 x+4` is maximum at

A

0

B

3

C

4

D

2

Text Solution

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The correct Answer is:
D
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TARGET PUBLICATION-APPLICATIONS OF DERIVATIVES-COMPETITIVE THINKING
  1. If for a function f(x),f'(a)=0,f"(a)=0,f'''(a)gt0, then at x=a,f(x) is

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  2. The local maximum of y=x^3-3x^2+5 is attained at

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  3. The function f(x)=2x^3-15 x^2+36 x+4 is maximum at

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  4. Let f(x)=2x^3-3x^2-12 x+5 on [-2,\ 4] . The relative maximum occurs ...

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  5. Maximum value of x(1-x)^2 when 0lt=xlt=2 is

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  6. The minimum value of (x^(2) + (250)/(x)) is

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  7. The minimum value of the function f(x)=xlogx is

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  8. The maximum value of f(x)=(logx)/(x)(x ne 0, x ne1) is

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  9. If x and y are two positive numbers such that x+y=32, then the maximum...

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  10. In the interval [0,1], the function x^(25)(1-x)^(75) takes its maximum...

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  11. Let f(x)=x^2+(1/x^2) and g(x)=x-1/x xinR-{-1,0,1}. If h(x)=(f(x)/g(x)...

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  12. If the function f(x)=2x^3-9a x^2+12 x^2x+1,w h e r ea >0, attains its ...

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  13. If minimum value of f(x)=(x^(2)+2bx+2c^(2)) is greater than the maximu...

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  14. Let fn(x) be the n^(th) derivative of f(x).the least value of n so tha...

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  15. If from a wire of length 36 metre a rectangle of greatest area is made...

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  16. Twenty metres of wire is available for fencing off a flower-bed in ...

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  17. The sum of two non-zero numbers is 4. The minimum value of the sum of ...

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  18. The area of a rectangle will be maximum for the given perimeter, when ...

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  19. A population p(t) of 1000 bacteria introduced intonutrient medium grow...

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  20. The least value of the sum of any positive real number and its recipro...

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