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Find from the definition, the derivative...

Find from the definition, the derivatives of
`log(sinx)`

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The correct Answer is:
`1*(1)/(u)*1*cosx=(1)/(sinx)*cosx=cotx*`
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CHHAYA PUBLICATION-DIFFERENTIATION-Example
  1. Find from the definition, the derivatives of tan^(-1)x

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  2. Find from the definition, the derivatives of sqrt(cotx)

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  3. Find from the definition, the derivatives of log(sinx)

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  4. Find from the definition, the derivatives of cos(logx)

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  5. From first principle find the derivatives of each of the following fun...

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  6. If f (x) is differentiable at x = h , find the value of lim(s to ...

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  7. Find from difinition the derivatives of x^(2)e^(x)

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  8. Find from difinition the derivatives of x sin x

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  9. Find from definition the derivatives of x^(2)cosx

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  10. Find from definition the derivatives of (1)/(f(x))

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  11. Find from definition the derivatives of 3sqrt(cos x)

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  12. Find the derivatives of e^sqrt(cot x)

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  13. Given, f (x) =(x-1)/(2x^(2)-7x+5)' when x ne 1 =-(1)/(3) when...

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  14. A function f (x) is defined as follows : f (x) = 3 + 2x , when -(...

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  15. If f(x)=|x-2|+1 , evaluate lim(xto2+)(f(x)-f(2))/(x-2) and lim(xt...

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  16. The function f satisfies the equation f(x+y) = f (x) f (y) for all ...

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  17. Differentiate the following functions with respect to x : 2x^(a)-...

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  18. Differentiate the following functions with respect to x : 2x^(4)-(...

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  19. Differentiate the following functions with respect to x : (x^(3)-4x...

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  20. Differentiate the following functions with respect to x : 2log(3)...

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