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If"\ "y=((2-3cosx)/(sinx)),"\ "fin d(dy)...

If`"\ "y=((2-3cosx)/(sinx)),"\ "fin d(dy)/(dx)"\ "a t"\ "x=pi/4`

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Glven,
`y=frac{2-3 cos x}{sin x} `
`y=frac{2}{sin x}-3 frac{cos x}{sin x} `
`Rightarrow y=2 {cosec} x-3 cot x`
...
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RD SHARMA-DERIVATIVES-Solved Examples And Exercises
  1. Differentiate the following with respect of x :cos(x+a)

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  2. Ify=(sinx/2+cosx/2)^2,fin d(dy)/(dx)a tx=pi/6

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  3. If"\ "y=((2-3cosx)/(sinx)),"\ "fin d(dy)/(dx)"\ "a t"\ "x=pi/4

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  4. Differentiate the following with respect of x :(2x^2+3x+4)/x

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  5. Differentiate the following with respect of x :(acosx+bsinx+c)/(sinx)

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  6. Differentiate the following with respect of x :2secx+3cotx-4tanx

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  7. Differentiate the following with respect of x :1/(sinx)+2^(x+3)+4/(log...

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  8. Differentiate the following with respect of x :log(1/(sqrt(x)))+5x^a-3...

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  9. Differentiate the following with respect of x :(cos(x-2))/(sin x)

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  10. Find the rate of at which the function f(x)=x^4-2x^3+3x^2+x+5 changes ...

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  11. If y=(2x^9)/3-5/7x^7+6x^3-x, find (dy)/(dx) at \ x=1.

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  12. For the function f(x)=(x^(100))/(100)+(x^(99))/(99)+...+(x^2)/2+x+1 . ...

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  13. Differentiate the following with respect of x : xsinx

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  14. Differentiate the following with respect of x : e^xsinx+x^ncosx

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  15. Differentiate the following with respect of x :(x+secx)(x-tanx)

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  16. Differentiate the following with respect of x :(x^2+1)cos x

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  17. Differentiate the following with respect of x :(x^3sinx)/(cos x)

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  18. Differentiate the following with respect of x : e^x(x+logx)

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  19. Differentiate the following with respect of x :(x+cosx)(x-tanx)

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  20. Differentiate the following with respect of x :(a x^2+sinx)(p+qcosx)

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