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Find the derivatives w.r.t. x : x=a co...

Find the derivatives w.r.t. x :
`x=a cos^(3)theta, y=a sin^(3)theta`

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The correct Answer is:
`-tan theta`
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CHHAYA PUBLICATION-DIFFERENTIATION-EXERCISE 3A (Very Short Answer Type Questions)
  1. Find the derivatives w.r.t. x : x^(2)+y^(2)=4

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  2. Find the derivatives w.r.t. x : x^(2)+xy+y^(2)=100

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  3. Find the derivatives w.r.t. x : x^(3)+y^(3)=3axy

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  4. Find the derivatives w.r.t. x : x^((2)/(3))+y^((2)/(3))=a^((2)/(3))

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  5. Find the derivatives w.r.t. x : (x^(2))/(a^(2))+(y^(2))/(b^(2))=1

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  6. Find the derivatives w.r.t. x : x=y log(xy)

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  7. Find the derivatives w.r.t. x : ax^(2)+2hxy+by^(2)+2gx+2fy+c=0

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  8. Find the derivatives w.r.t. x : (x^(2)+y^(2))^(2)=xy

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  9. Find the derivatives w.r.t. x : x = a cos theta, y = b sin theta

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  10. Find the derivatives w.r.t. x : x=a"cos"(theta)/(2), y=b"sin"(theta)...

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  11. Find the derivatives w.r.t. x : x=at^(2), y=2at

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  12. Find the derivatives w.r.t. x : x=a cos^(3)theta, y=a sin^(3)theta

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  13. Find the derivatives w.r.t. x : x=t log t, y=(log t)/(t)" when " t =...

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  14. Find the derivatives w.r.t. x : y=sqrt((x^(2)+1)/(x^(2)-1))

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  15. Find the derivatives w.r.t. x : y=(1-x)(1-2x)(1-3x^(2))

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  16. Find the derivatives w.r.t. x : y=sqrt(((x-3)(x^(2)+4))/(3x^(2)+4x+5...

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  17. Find the derivatives of : x^(2)" w.r.t. " logx

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  18. Find the derivatives of : tan x" w.r.t. " log x

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  19. Find the derivatives of : cot x" w.r.t. cosec"x

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  20. Find the derivatives of : log(10)x" w.r.t. " tan^(-1)x

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