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KCET2017MathematicsVector Algebra

If ( y= | array ccc f(x) & g(x) & h(x) l & m & n a & b & c array | ), then ( d y d x ) is equal to

Options

  1. A( | array ccc f^ (x) & g^ (x) & h^ (x) l & m & n a & b & c array | )
  2. B( | array ccc l & m & n f^ (x) & g^ (x) & h^ (x) a & b & c array | )
  3. C( | array lll f^ (x) & l & a g^ (x) & m & b h^ (x) & n & c array | )
  4. D( | array ccc l & m & n a & b & c f^ (x) & g^ (x) & h^ (x) array | )

Correct answer

A. ( | array ccc f^ (x) & g^ (x) & h^ (x) l & m & n a & b & c array | )

Step-by-step solution

Given that, ( y= | array ccc f(x) & g(x) & h(x) l & m & n a & b & c array | ) So, ( d y d x = | array ccc f^ (x) & g^ (x) & h^ (x) l & m & n a & b & c array |+ | array ccc f(x) & g(x) & h(x) 0 & 0 & 0 a & b & c array |+ ) ( | array ccc f(x) & g(x) & h(x) l & m & n 0 & 0 & 0 array | ) ( = | array ccc f^ (x) & g^ (x) & h^ (x) l & m & n a & b & c array | )

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