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If f(x) =[tan^2x], what is f ' (0)?...

If f(x) =`[tan^2x]`, what is f ' (0)?

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f(x) = `[tan^2x]f(0)=underset(hto0)lim([tan^2(0+h)]-[tan^2(0)])/h=underset(hto0)lim(0-0)/h=0
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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
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  7. If f'(x)=sqrt(2x^2-1) and y=f(x^2) then what is dy/dx at x = 1 ?

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  9. What is the differential co-efficient of "tan"^(-1)sqrt(1+x^2-1)/x wit...

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  10. If y=at^2, x= 2at where a is a constant what is the value of (d^2y)/(d...

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  11. Is the function f(x)="sin"^(-1)(2x)/(1+x^2) differentiable at x=pm1?

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  12. Write the value of d/dx(sin^-1x+cos^-1x) for x in(-1,1).

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  13. Write the value of d/dxsec^-1(1/(2x^2-1)), for x in(0,1/sqrt2).

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  14. Write the interval in which the fuction f(x)=sin^-1(1-x) is differenti...

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  15. Write the value x for which d/dxsin(sin^-1x)=1

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  16. Write the value x for which d/dxsin^-1(sin x)=1

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  17. Write the derivative of sec^-1x with respect to x at x=-1/3.

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  18. Find the derivative of Inxa.

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  19. Write a logarithmic functions which is differentiable atevery point in...

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  20. Give example of two functions which are not derivable at x = 0 , but t...

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