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If f(x)=|{:(x,sinx,cosx),(x^2,tanx,x^3),...

If `f(x)=|{:(x,sinx,cosx),(x^2,tanx,x^3),(2x,sin2x,5x):}|` then
`lim_(x to 0)(f'(x))/x` is equal to

A

4

B

-4

C

2

D

-2

Text Solution

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The correct Answer is:
B
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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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  11. Let fx) be a polynomial function of second degree. If f(1)= f(-1) and ...

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  12. If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (...

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  13. If f(x)=|{:(x,sinx,cosx),(x^2,tanx,x^3),(2x,sin2x,5x):}| then lim(x...

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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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  15. If y=sinx[1/(sinxsin2x)+1/(sin2xsin3x)+...+1/(sinnx sin (n+1)x)]the...

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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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