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Find the derivative of x^(n)n^(x)log(nx)...

Find the derivative of `x^(n)n^(x)log(nx),(x gt0, n in N)`.

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The correct Answer is:
`x^(n-1).n^(x)[(nx)/(log nx)+lognx+x^(n).log nx]`
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VIKRAM PUBLICATION ( ANDHRA PUBLICATION)-DIFFERENTIATION-Exercise-9(a)
  1. Find the derivatives of the following functions f(x). (4+x^(2))e^(2)...

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  2. Find the derivatives of the following functions f(x). (ax+b)/(ax+d)[...

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  3. Find the derivatives of the following functions f(x). a^(x).e^(x^(2)...

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  4. If f(x)=1+x+x^(2)+…………+x^(100), then find f'(1).

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  5. Find the derivatives of the following functions from the first princip...

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  6. Find the derivatives of the following functions from the first princip...

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  7. Find the derivatives of the following functions from the first princip...

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  8. Find the derivatives of the following functions from the first princip...

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  9. Find the derivatives of the following functions from the first princip...

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  10. Find the derivatives of the following functions from the first princip...

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  11. Find the derivatives of the following functions from the first princip...

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  12. Find the derivatives of the following functions from the first princip...

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  13. Find the derivatives of the following functions from the first princip...

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  14. Find the derivativ of the function from first principles : x sin x

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  15. Find the derivativ of the function from first principles : cos ^(2) ...

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  16. Find the derivative of (1 - xsqrt(x))/(1+xsqrt(x)), (x > 0)

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  17. Find the derivative of x^(n)n^(x)log(nx),(x gt0, n in N).

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  18. Find the derivative of the w.r.t.x ax ^(2n) log x + b x ^(n) e ^(-x)

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  19. Find the derivatives of the following function. ((1)/(x)-x)^(3)e^(x)

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  20. Is the following function f derivable at 2 ? Justify . f(x){{:(x,if 0 ...

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