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Differentiate f(x) = e^(sin x) w.r.to g(...

Differentiate `f(x) = e^(sin x)` w.r.to `g(x) = sin x`.

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SRISIRI PUBLICATION-IPE SCANNER (TEXTUAL BITS)-DIFFERENTIATION
  1. Find the derivative of x^(4) + y^(4) - a^(2) xy = 0 w.r.to x

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  2. Differentiate f(x) = e^(x) w.r.to g(x) = sqrt(x).

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  3. Differentiate f(x) = e^(sin x) w.r.to g(x) = sin x.

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  4. Differentiate f(x)=log(a)x with respect to g(x)=a^(x).

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

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  6. Find the derivative of (sqrt(x) - 3x) (x + 1/x)

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  7. Find the derivative of 5 sin x + e^(x) log x .

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  8. Find the derivative of 5^(x) + log x + x^(2) e^(x)

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  9. Find the derivative of y = e^(2x)log (3x + 4)

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

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  11. If f(x) = sqrt((1 + x^2)/(1-x^2)) (|x | < 1), then find f'(x)

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  12. Find the derivative of Tan^(-1)((3a^(2)x-x^(3))/(a(a^(2)-3x^(2)))).

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  13. If f(x)=2x^2+3x+5, then prove that f'(0)+3f'(-1)=0

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  14. If the function f(x) = {(x, if 0 le x le 2),(2, if x ge 2):} derivable...

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  15. If x = a[cos t + log tan (t/2)], y = a sin t then find (dy)/(dx).

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  16. If y = x ^(x) (x gt 0) , find (dy)/(dx)

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  17. Find the derivative of x = sin h^(2)y w.r.t x.

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  18. Find the derivative of x=e^(sinhy) with respect to x.

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  19. Find the derivative of x = tan h^(2)y, w.r.to x.

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  20. Find the derivative of x=tan(e^(-y)) with respect to x.

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