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If f((x+2y)/3)=(f(x)+2f(y))/3AAx ,y in ...

If `f((x+2y)/3)=(f(x)+2f(y))/3AAx ,y in Ra n df^(prime)(0)=1,f(0)=2,` then find `f(x)dot`

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
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  3. If f((x+2y)/3)=(f(x)+2f(y))/3AAx ,y in Ra n df^(prime)(0)=1,f(0)=2, ...

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  5. If graph of y=f(x) is symmetrical about the point (5,0) and f^(prime)(...

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  6. Let f(x^m y^n)=mf(x)+nf(y) for all x , y in R^+ and for all m ,n in ...

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  8. If f,g,a n d \ h are differentiable functions of x and d(x)=|[f,g,h]...

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  9. Let f be a function such that f(x+y)=f(x)+f(y) for all x and y and f(...

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  10. If f((x+y)/3)=(2+f(x)+f(y))/3 for all x,y f'(2)=2 then find f(x)

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  11. Prove that lim(x->0) (f(x+h)+f(x-h)-2f(x))/h^2 = f''(x)

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  12. Let f(x+y)=f(x)+f(y)+2x y-1 for all real x and y and f(x) be a differe...

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  13. If x=e^(y+e^(y+e^y....oo) , where x &gt0,then find(dy)/(dx)

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  14. Let f: RvecR be a function satisfying condition f(x+y^3)=f(x)+[f(y)]^3...

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  16. (dy)/(dx) for y=tan^(-1){sqrt((1+cosx)/(1-cosx))} ,where 0 lt x lt pi,...

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  17. If y^x=x^y ,"then find"(dy)/(dx)dot

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  18. Differentiate (xcosx)^x with respect to xdot

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  19. If f(xy)=(f(x))/y+(f(y))/x holds for all real x and y greater than 0 a...

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  20. Find (dy)/(dx) for y=x^xdot

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