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MAXIMUM PUBLICATION-CONTINUITY & DIFFERENTIABILITY-EXAMPLE
- 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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- Find dy/dx If y=sin^(-1)(frac(1-x^2)(1+x^2)) , 0 < x < 1
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- Let f(x)={(cosx,0lexlec),(sinx,c<xlepi)} Find the value of c if f is...
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- Find dy/dx if x=2sintheta , y=3costheta
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- Examine whether the function defined by f(x)={(x+5,xle1),(x-5,x>1):}...
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- If x=a^(sin^(-1)t) , y=a^(cos^(-1)t) , a>0 , show that dy/dx=-y/x
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- If f(x)={(1-x,0<x<1),{(1+x,1<x<2):} then which of the following is not...
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