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If `f(x), g(x), h(x)` are polynomials in `x` of degree `2` If `F(x)=|[f,g,h],[f',g',h'],[ f'', g'', h'' ]|` then `F'(x)` is

A

1

B

0

C

-1

D

None of these

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The correct Answer is:
B
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If f_(r)(x), g_(r)(x), h_(r) (x), r=1, 2, 3 are polynomials in x such that f_(r)(a) = g_(r)(a) = h_(r) (a), r=1, 2, 3 and " "F(x) =|{:(f_(1)(x)" "f_(2)(x)" "f_(3)(x)),(g_(1)(x)" "g_(2)(x)" "g_(3)(x)),(h_(1)(x)" "h_(2)(x)" "h_(3)(x)):}| then F'(x) at x = a is ..... .

TARGET PUBLICATION-DIFFERENTIATION -EVALUATION TEST
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  4. If y= cos ax and yn is n^(th) derivative of y, then |{:(y,y1,y2),(y3...

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  10. If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3),p rov et h a t(dy)/(dx)=(x^2)/(y...

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  14. If g is the inverse of a function f and f'(x) = 1/(1+x^(5)), then g'(x...

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  16. if y=e^(sin^2x+sin^4x+sin^6x+............oo) then find (dy)/(dx)

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  17. If y=tan^(-1)1/(1+x+x^2)+tan^(-1)1/(x^2+3x+3)+tan^(-1)1/(x^2+5x+7)++ u...

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  18. If y=a sin (bx+c), then yn=

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  19. If f(x)=x^(n),"n" epsilon N, then the value of f(1)-(f^(')(1))/(1!)+(f...

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  20. If p=a^2cos^2theta+b^2 sin^2 theta, where a^2+b^2+c^2 ,then 4p+(d^2p)...

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