NDA Maths Mock Test – 01 – Q85

Question:

If y = (x√x2 – 16)/(2) – 8 log|x + √x2 – 16|, then what is (dy)/(dx) equal to?

If y = (x√x2 – 16)/(2) – 8 log|x + √x2 – 16|, then what is (dy)/(dx) equal to?

Options:

  • x – √(x2 – 16)
  • √(x2 – 16)
  • x√(x2 – 16)
  • 4√(x2 – 16)
  • x – √(x2 – 16)
  • √(x2 – 16)
  • x√(x2 – 16)
  • 4√(x2 – 16)

Correct Answer: b)

Explanation:

‘ We ha√e,
! y=” 8Inja + a? — 16
1 dy 1 2 7
= = 2 E X EW + √z 19
— 1 2
1 8x z+/z2 16 i + 24/ 2
i 126 8 o+√z?-16
2) a1 o√e 15) x2-16
I
‘ BD Ne al
V/z1-16
hon a

‘ We ha√e,
! y=” 8Inja + a? — 16
1 dy 1 2 7
= = 2 E X EW + √z 19
— 1 2
1 8x z+/z2 16 i + 24/ 2
i 126 8 o+√z?-16
2) a1 o√e 15) x2-16
I
‘ BD Ne al
V/z1-16
hon a

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