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The slope of the tangent to the curve (y...

The slope of the tangent to the curve `(y-x^5)^2=x(1+x^2)^2` at the point (1,3) is

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CENGAGE PUBLICATION-LIMITS AND DERIVATIVES-All Questions
  1. If y is function of x and log(x+y)=2xy, then find the value of y'(0).

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  2. Find the derivative of sqrt(4-x) w.r.t. x using the first principle.

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  3. The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the poin...

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  4. If f(x)=xtan^(-1)x , find f^(prime)(sqrt(3)) .

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  5. Let f(theta)=sin(tan^(-1)((sintheta)/(sqrt(cos2theta)))), where -pi/4...

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

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

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  8. 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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  9. If f(x)=|x^2-5x+6|,t h e nf^(prime)(x)e q u a l s 2x-5for2<x<3 5-2xf...

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

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  11. 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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  12. Let g: RvecR be a differentiable function satisfying g(x)=g(y)g(x-y)AA...

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

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  14. 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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  15. 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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  16. Prove that lim(x->0) (f(x+h)+f(x-h)-2f(x))/h^2 = f''(x)

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

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

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

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