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If f'(x)=sqrt(2x^2-1) and y=f(x^2) then ...

If `f'(x)=sqrt(2x^2-1)` and `y=f(x^2)` then what is `dy/dx` at x = 1 ?

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`y=f(x^2)rArrdy/dx=f(x^2)2x=2xsqrt(2x^4-1)(thereforef(x)=sqrt(2x^2-1))thereforedy/dx]_(x=1)=2sqrt(2-1)=2
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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. If xin((3pi)/4,pi) what is dy/dxfor y = | cos x | + | sin x | ?

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  2. What is the derivative of f(In x) with respect to x where f(x) = In x ...

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  3. If f'(x)=sqrt(2x^2-1) and y=f(x^2) then what is dy/dx at x = 1 ?

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  4. Defferentiate tan^(-1) frac (2x)(1-x^2) w.r.t. sin^(-1) frac (2x)(1+...

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

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

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

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

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

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

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

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

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

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  14. Find the derivative of Inxa.

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

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

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  17. Write the value of x for which d/dx"tan"^-1((2x)/(1-x^2))=2/(1+x^2)

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  18. If y=5^t and t=e^(3x). Write the value of dy/dx at x= 0

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  19. Write the derivative of sin^-1x with respect to cos^-1x.

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  20. Write the value of (dy)/dx if y=sinx+sqrt(sinx+sqrt(sinx+sqrt(sinx+......

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