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Find the derivative of e^(sqrt(x)) w.r.t...

Find the derivative of `e^(sqrt(x))` w.r.t. `x` using the first principle.

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
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  2. Let f(theta)=sin(tan^(-1)((sintheta)/(sqrt(cos2theta)))), where -pi/4...

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  3. Find the derivative of e^(sqrt(x)) w.r.t. x using the first principle.

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  4. f(x)=tan^(-1){log(e/x^2)/log(ex^2)}+tan^(-1)((3+2logx)/(1-6logx)) then...

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

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

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  11. 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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  12. 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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  13. Prove that lim(x->0) (f(x+h)+f(x-h)-2f(x))/h^2 = f''(x)

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

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

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  17. If x y=e^((x-y)), then find (dy)/(dx)

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

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

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

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