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Find the derivatives w.r.t. x : (sin^(...

Find the derivatives w.r.t. x :
`(sin^(p)x)/(cos^(q)x)`

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The correct Answer is:
`(sin^(p-1)x)/(cos^(q+1)x)(p cos^(2)x+q sin^(2)x)`
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CHHAYA PUBLICATION-DIFFERENTIATION-EXERCISE 3A (Very Short Answer Type Questions)
  1. Find the derivatives w.r.t. x : sin x sin 2x sin 3x

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  2. Find the derivatives w.r.t. x : sin^(p) x cos^(q) x

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  3. Find the derivatives w.r.t. x : (sin^(p)x)/(cos^(q)x)

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  4. Find the derivatives w.r.t. x : e^(x) sinx cos^(2)x

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  5. Find the derivatives w.r.t. x : sqrt(x^(2)+1)-log[(1)/(x)+sqrt(1+(1)...

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  6. Find the derivatives w.r.t. x : log(ax)^(x)

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  7. Find the derivatives w.r.t. x : x^(5)+(6)/(x)-tan(x^(2))

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  8. Find the derivatives w.r.t. x : log sin (sqrt(x^(2)+1))

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  9. Find the derivatives w.r.t. x : 2xtan^(-1)x -log(1+x^(2))

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  10. Find the derivatives w.r.t. x : cot^(-1) sqrt((1-sinx)/(1+sinx))(0 l...

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  11. Find the derivatives w.r.t. x : (2x+1)/(x^(3))-log tan x+x sin^(-1) ...

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  12. Find the derivatives w.r.t. x : log(a)x

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  13. Find the derivatives w.r.t. x : log(x)e

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  14. Find the derivatives w.r.t. x : x^(x)

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  15. Find the derivatives w.r.t. x : 2e^(x)-3m^(x)+10^(x)

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  16. Find the derivatives w.r.t. x : 2^(x+2)-e^(x+1)+log(10)x

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

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

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

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

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