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If f(x)=x|x|, then prove that f^(prime)(...

If `f(x)=x|x|,` then prove that `f^(prime)(x)=2|x|`

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  2. Let f(x)=(lim)(h->0)(("sin"(x+h))^(1n(x+h))-(sinx)^(1nx))/hdot Then f...

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  3. If f(x)=x|x|, then prove that f^(prime)(x)=2|x|

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  5. If y=sqrt((1-cos2x)/(1+cos2x),)x in (0,pi/2)uu(pi/2,pi), then find (dy...

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  8. Let y=ln(1+cosx)^2 . Then the value of (d^2y)/(dx^2)+2/(e^(y/2)) equal...

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  10. If the function f(x)=-4e^((1-x)/2)+1+x+(x^2)/2+(x^3)/3a n dg(x)=f^(-1)...

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  11. Differentiate y=(e^x)/(1+sinx)

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