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Write a logarithmic functions which is d...

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

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`f(x)=log_3(2^x)`is differentiable for all `x in R`
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MBD PUBLICATION-THREE DIMENSIONAL GEOMETRY-QUESTION BANK
  1. Write the derivative of sec^-1x with respect to x at x=-1/3.

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  2. Find the derivative of Inxa.

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

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

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

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

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

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

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  9. Write the value of (dy)/dx if y=x^(x^(x^... oo))

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  10. Write the value of (dy)/dx at (1,0) where x^2y+y^2+x=0.

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  11. Write the minimum value of y2 where y=sin^2x cos^2x

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  12. If x=log t, y=t^2-1, then what is y2 at t=1 ?

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  13. What is the slope of the tangent to the curve y=3x^2+2x-1 at x=2?

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  14. If y=1/(x(x+1))then what is y3?

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  15. If f(x)=e^(ax) sin ax and f"(0) = 2, then what is a ?

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  16. A balloon is pumped at the tate of 10 cubic cm/min . What it the rate ...

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  17. For what values of a the function e^(ax)is increasing ?

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  18. What is the interval in which log5xis increasing ?

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  19. What is the interval in which f(x)=x^3-3x^2+3x-10 is strictly increasi...

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  20. Give example of a function which is increasing in (-oo,2) and (3,oo) a...

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