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MAXIMUM PUBLICATION-CONTINUITY & DIFFERENTIABILITY-EXAMPLE
- Find dy/dx of y=cos^-1frac(1-x^2)((1+x^2)), 0<x<1
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- Find dy/dx of y=sin^-1 2xsqrt(1-x^2) (-1)/sqrt2<x<1/sqrt2
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- Find dy/dx if x^3+2x^2y+3xy^2+4y^3=5
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- Find all points of discontinuity of f where f is defined by f(x)={(2x+...
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- If e^(x-y)=x^y then prove that dy/dx=logx/[logex]^2
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- Find dy/dx of y=sin^-1(3x-4x^3)+cos^-1(4x^3-3x)
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- Find dy/dx of y=tan^-1(sqrt((1-cosx)/(1+cosx)))
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- Consider the function f(x)=absx , x in R Draw the graph of f(x)= abs...
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- Consider the function f(x)=absx , x in R Show that the function is c...
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- Find the derivative of y=x^a+a^x with respect to x.
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- If e^y(x+1)=1 , show that (d^2y)/(dx^2)=(dy/dx)^2
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- Check the continuity of the function given by f(x)={(xsinfrac1x,xne0),...
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- Verify mean value theorem for the function f(x)=x+frac1x in the interv...
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- Determine the value of k so that the function f(x)={(k(x^2+x+1),x<0)...
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- If y=[x+sqrt(x^2+9)]^n , show that dy/dx=(ny)/(sqrt(x^2+9)
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- Consider a function f:RrarrR defined by f(x)={(a+x,xle2),(b-x,x>2):}...
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- Consider a function f:RrarrR defined by f(x)={(a+x,xle2),(b-x,x>2):}...
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- Find dy/dx, If x=a(t-sint) , y=a(1+cost)
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- Verify Rolle's theorem for the function f(x)=x^2+2 in the interval [...
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- Find the relationship between a and b so that the function f defined b...
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