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Find from the first principle, the deriv...

Find from the first principle, the derivatives of the following functions w.r.t. x :
`cot^(-1)x`

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The correct Answer is:
`-(1)/(1+x^(2))`
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CHHAYA PUBLICATION-DIFFERENTIATION-Long Answer Type Questions
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  2. Find from the first principle, the derivatives of the following functi...

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  3. Find from the first principle, the derivatives of the following functi...

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  4. Find from the first principle, the derivatives of the following functi...

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  9. Find from the first principle, the derivatives of the following functi...

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  10. Find from the first principle, the derivatives of the following functi...

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  11. Let {:(f(x)=5x-4," ""when "0ltxle1),(=4x^(2)-3x," ""when "xgt1)...

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  12. Let {:(f(x)=0," ""when"xlt0),(=1+sinx," ""when"xge0):} Sh...

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  13. Examine the differentiability of f(x) =2x+|x-1| at x = 1

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  14. Examine the differentiability of f(x) =2x+|x-1| at x = 1

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  15. Given {:(f(x)=x^(2)-2x+3," ""when "xlt1),(=2," ""when "x=1),(=2x...

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  16. If f(x)=sqrt(2x)-sqrt(2/(x))-sqrt(2/(x))+(x+4)/(4-x) find f'(2).

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  17. If 2f(x) +3f(-x)=x^(2)-x+1 then determine the value of f'(1).

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  18. Using the formula of differentiation of product functions show that (d...

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  19. From the relation 1+x+x^(2)+* * * + x^(n-1)=(1-x^(n))/(1-x) , find t...

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  20. If x in(0,(pi)/(2))cup((pi)/(2),pi) and y = sqrt((1-cos 2x)/(1+cos2x...

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