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12th Standard English Medium Maths Subject Application of Differential Calculus Creative 2 Mark Questions with Solution Part - I

12th Standard

    Reg.No. :
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Maths

Time : 01:00:00 Hrs
Total Marks : 10

    2 Marks

    5 x 2 = 10
  1. Find the maximum and minimum values of f(x) = |x+3| ∀ \(x\in R\).

  2. Find the point at which the curve y-exy+x=0 has a vertical tangent.

  3. Using Rolle’s theorem find the value of c for f(x) = sin x in[0,2π]

  4. Obtain Maclaurin’s Series expansion for e2x.

  5. Evaluate the following limits, if necessary using L’Hopitalrule
    (i) \(\underset { x\rightarrow 2 }{ lim } \cfrac { sin\pi x }{ 2-x } \) 
    (ii) \(\cfrac { lim }{ x\rightarrow 2 } \cfrac { { x }^{ n }-{ a }^{ n } }{ x-2 } \) 
    (iii) \(\underset { x\rightarrow \infty }{ lim } \cfrac { sin\frac { 2 }{ x } }{ \frac { 1 }{ x } } \)
    (iv) \(\underset { x\rightarrow \infty }{ lim } \cfrac { { x }^{ 2 } }{ { e }^{ x } } \)

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