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Find (dy)/(dx) , when y=(sinx+x^2)/(cot2...

Find `(dy)/(dx)` , when `y=(sinx+x^2)/(cot2x)`

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RD SHARMA ENGLISH-DIFFERENTIATION-All Questions
  1. Find (dy)/(dx) , when y=(e^x+logx)/(sin3x)

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  2. Find (dy)/(dx) , when y=e^xlog(1+x^2)

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  3. Find (dy)/(dx) , when y=(sinx+x^2)/(cot2x)

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  4. If y={x+sqrt(x^2+a^2)}^n , then prove that (dy)/(dx)=(n y)/(sqrt(x^2+a...

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  5. If y=(xcos^(-1)x)/(sqrt(1-x^2))-logsqrt(1-x^2), then prove that (dy)/(...

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  6. Differentiate sin(m\ sin^(-1)x) with respect to x :

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  7. Differentiate (a^(sin^(-1)x))^2 with respect to x :

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  8. Differentiate: e^(cos^(-1)sqrt(1-x^(2))

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  9. Differentiate the following functions with respect to x : (log)(10)x...

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  10. Differentiate 5^3-x^2+(3-x^2)^5 with respect to x :

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  11. If y=(sqrt(a^2+x^2)+sqrt(a^2-x^2))/(sqrt(a^2+x^2)-sqrt(a^2-x^2)),s ho...

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  12. If y=sqrt((1-x)/(1+x)) prove that (1-x^2)(dy)/(dx)+y=0

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  13. If y=sqrt((1+e^x)/(1-e^x)),s howt h a t(dy)/(dx)=(e^x)/((1-e^x)sqrt(1...

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  14. If (1+x)^n=c0+C1x+C2x^2++Cn x^n ,u s ingd e r i v a t i v e sp rov et ...

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  15. Using the fact that s in (A + B) = s in A cos B + cos A s in Band the ...

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  16. If f(x)=sqrt(x^2+1),\ \ g(x)=(x+1)/(x^2+1) and h(x)=2x-3 , then find f...

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  17. Differentiate sin(3x+5) with respect to x :

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  18. Differentiate t a n^2x with respect to x :

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  19. Differentiate tan(x+45) with respect to x :

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  20. Differentiate sin(logx) with respect to x :

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