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Find (dy)/(dx) : y = log (2)x...

Find `(dy)/(dx) ` :
`y = log _(2)x`

Text Solution

Verified by Experts

The correct Answer is:
`(1)/(x)log_(2)e`
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CHHAYA PUBLICATION-DIFFERENTIATION-Very short Answer Type Questions
  1. Differentiate the following functions w.r.t.x : xsqrt(x)-6(x^(2))/...

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  2. Find (dy)/(dx) : y=3log x - 4sqrt(x)+2e^(x)

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  3. Find (dy)/(dx) : y = log (2)x

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  4. Find (dy)/(dx) : y = 2x^(m)-3m^(x)+4e^(x)

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  5. Find (dy)/(dx) : y =2^(x+2)-e^(x+1)+3log(e) x

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  6. Find (dy)/(dx) : y = log (10)x+10^(x)+x^(10)+10

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  7. Find (dy)/(dx) : y = e^(x+1)-5^(x+1)+e^(logx)+log(a)x+logx^(a)

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  8. Find (dy)/(dx) : y = a sec x +b tan x - c cosec x + d cot x - e

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  9. Find (dy)/(dx) : y = 4 cos2(x)/(2)-3tan (pi - x ) + 2^(3+x)

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  10. Find (dy)/(dx) : y = (1)/(sin x cos x )

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  11. Find (dy)/(dx) : y = (sin x + cos x )/(sqrt(1 + sin 2 x ))

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  12. Find (dy)/(dx) : y = (cos x - cos 2 x)/(1 - cos x )

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  13. Find the derivative of cot x by expressing it in the form cos x * cos...

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  14. Writing tan x as (sin x )/(cos x ) deduce that (d)/(dx)(tan x ) = se...

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  15. If y = 2 x ^(3) + 3 x ^(2) - 36 x + 7 find the values of x for whi...

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  16. If f(x) = x^(3) - 2 px^(2) - 4 x + 5 and f' (2) = 0 find p .

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  17. If s = at^(2) + bt + c find the value of [(ds)/(dt)](t=1) .

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  18. If f(x) = 2x^(3)-3x^(2)+ 4x - 2 , find the value of f'(-2) .

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  19. If y = x^(5) show that x(dy)/(dx)-5y = 0 .

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  20. If f(x)=x|x| , prove that f'(x)=2|x|

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