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MAXIMUM PUBLICATION-CONTINUITY & DIFFERENTIABILITY-EXAMPLE
- Find dy/dx of the following siny=xcos(a+y)
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- Find dy/dx of the following y=sin^(-1)((2x)/(1+x^2))
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- Find dy/dx of the following y=tan^(-1)((3x-x^3)/(1-3x^2))
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- Find dy/dx of the following y=sin^(-1)((1-x^2)/(1+x^2))
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- Find dy/dx of the following y=sec^(-1)((1)/(2x^2-1))
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- Find dy/dx of the following y=tan^(-1)sqrt((1-cosx)/(1+cosx))
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- Find dy/dx of the following y=cos^(-1)frac((x-x^(-1)))(x+x^-1)
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- Find dy/dx of the following sin^(-1)[xsqrt(1-x)+sqrtxsqrt(1-x^2)]
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- Find dy/dx of the following x=a(t-sint) , y=a(1-cost)
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- Find dy/dx of the following y=e^tcost , x=e^tsint
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- If y=log(1/x) , show that dy/dx+e^y=0
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- If e^y(x+1)=1 . Show that dy/dx=-e^y
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- If e^y(x+1)=1 . Show that (d^2y)/dx^2=(dy/dx)^2
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- Evalute lim(xrarr0)frac(kcosx)(pi-2x) (Hint: Put pi-2x=y , where k i...
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- Find the value of k if f(x) is a continious function give by f(x)={(...
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- If f(x)={(x-absx,x<2),(0,x=2),(3x-5,x>2):} Find lim(xrarr2)f(x)
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- Is f(x) =x^2continuous at x=2 ?
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- If x=2costheta , y=3sintheta Find dy/dx .
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- If x=2costheta , y=3sintheta Find (d^2y)/(dx^2) .
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- If y=(tan^(-1)x)^2, show that (x^2+1)^2y2+2x(x^2+1)y1=2 .
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