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Let f: RvecR be a function satisfying co...

Let `f: RvecR` be a function satisfying condition `f(x+y^3)=f(x)+[f(y)]^3fora l lx ,y in Rdot` If `f^(prime)(0)geq0,` find `f(10)dot`

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
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  2. If x=e^(y+e^(y+e^y....oo) , where x &gt0,then find(dy)/(dx)

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

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

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

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

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  11. If y=f(a^x)a n df^(prime)(sinx)=(log)e x ,then f i n d ((dy)/(dx)), if...

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  14. Find ("lim")(xto2)(xf(2)-2f(x))/(x-2) if f(2)=4 and f′(2)=1

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  15. If y=x^(x^(x^x...oo) , find (dy)/(dx)

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  16. If y=e^(sqrt(x))+e^(-sqrt(x)) , then (dy)/(dx) is equal to (a)(e^(sqr...

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  19. If y=(tanx)^((tanx)^((tanx).... ∞) ,then find (dy)/(dx) at x=pi/4

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  20. If graph of y=f(x) is symmetrical about the y-axis and that of y=g(x) ...

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