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Differentiate the following functions : ...

Differentiate the following functions :
`tan(x^(2)+5)`

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The correct Answer is:
`x^(2)+5`
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ARIHANT PUBLICATION-CONTINUITY AND DIFFERENTIABILITY -(PART II) QUESTION FOR PRACTICE (1 MARK)
  1. Differentiate the following functions : tan(x^(2)+5)

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  2. Differentiate the following functions : tan(sinx)

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  3. Differentiate the following functions : "cosec "(sqrt(x^(2)+2))

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  4. Differentiate the following functions : "sec"((5)/(x))

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  5. If f(x)=|cosx|, then find f'((3pi)/(4))

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  6. If x^(2//3)+y^(2//3)=a^(2//3), then find (dy)/(dx)

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  7. Prove that the function f gives by f(x)=|x-1|x in R is not differentia...

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  8. Show that the function f(x)=|x-1|+|x+1| AA x in R is not differentia...

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  9. A function f(x) is defined as follows : f(x)={(x^(2)"sin"(1)/(x)", i...

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  10. Let f(x)=x|x|,AA x in R. Discuss the derivability of f(x) at x=0.

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  11. Examine the differentiability of the function f defined by f(x)={{:(2x...

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  12. Discuss the continuity and differentiability of function f(x)=|x|+|x-1...

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  13. Prove that the greatest interger function defined by f(x)=[x],0ltxlt3 ...

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  14. If f(x)=|cos x-sinx| then find f ' ((pi)/(6))

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  15. Differentiate sqrt(tan sqrt(x)) w.r.t. x.

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  16. Differentiate cos x^(3)* sin^(2)(x^(5)) w.r.t.x.

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  17. If y=sin[sqrt(sin sqrt(x))], then find (dy)/(dx).

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  18. If y=xtan x+secx, then find the value of (dy)/(dx) at x=(pi)/(4).

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  19. If y=sin^(3)sqrt(ax^(2)+bx+c) then find (dy)/(dx)

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  20. If y=[x+sqrt(x^(2)+a^(2))]^(n), then prove that (dy)/(dx)=(ny)/(sqrt(x...

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