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Consider the following value of the func...

Consider the following value of the function ?
1 The functin attains local minima at x =-2 and x =3
2 The function increases in the interval (-2,0)
which of the above statements is/are correct?

A

1 only

B

2 only

C

both 1 and 2

D

neither 1 nor 2

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To solve the problem, we need to analyze the given function and check the validity of the two statements regarding local minima and the behavior of the function in a specified interval. ### Step-by-Step Solution: 1. **Identify the Function**: The function given is: \[ f(x) = 0.75x^4 - x^3 - 9x^2 + 7 ...
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NDA PREVIOUS YEARS-APPLICATION OF DERIVATIVES -Example
  1. What is the minimum value of f(X)?

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  2. Consider the function f(x)=0.75x^(4)-x^(3)-9x^(2)+7 What is the max...

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  3. Consider the following value of the function ? 1 The functin attains...

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  4. Consider the parametric equation

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  5. What is (dy)/(dx) equal to ?

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  6. What is (d^(2)y)/(dx^(2)) equal to ?

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  7. The function f(x)=(x^(2))/(e^(x)) monotonically increasing if

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  8. Consider the following statements 1 f(x)=In x is an increasing funci...

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  9. Consider the fucntion f(x)=((1)/(x))^(2x^2) , where xgt0. At what v...

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  10. The maximum value of the function is

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  11. Consider f(x)=(x^(2))/(2)-kx +1 such that f(0) =0 and f(3)=15 The va...

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  12. f''(-2/3) is equal to

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  13. Separate the intervals of monotonocity for the function f(x)=-2x^3-9x^...

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  14. The function f(x) is a decreasing funciton in the interval

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  15. Consider the function f(theta)=4(sin^(2) theta + cos^(4) theta) what...

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  16. What is the minimum value of the function f(theta) ?

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  17. Consider the following statements: 1 f(theta) =2 has no solution 2...

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  18. Consider the equaiton k sinx + cos 2x=2k-7 If the equaiton possesses...

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  19. If the equaiton posses soluiton then what is the maximum value of k ?

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  20. Which one of the following statement is correct in respect of the func...

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