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ARIHANT PUBLICATION-CONTINUITY AND DIFFERENTIABILITY -CHAPTER PRACTICE (4 MARK)
- Find (dy)/(dx), if y=(cosx)^(x)+(sinx)^(1//x).
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- If x=alphasin2t(1+cos2t) and y=betacos 2t(1-cos2t), then show that (dy...
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- Find the derivative of the function w.r.t. x at x=1, cos^(-1)[sinsqrt(...
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- If y=e^(m sin ^(-1)x), then show that (1-x^(2))(d^(2)y)/(dx^(2))-x(dy)...
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- Test the continuity and differentiability at x=1 of the function f def...
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- Show that the function f(x)=|x-1|+|x-2| is not differentiable at x=2.
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- If a function f is differentiable at a point c, then prove that it is ...
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- If x=acos^(3)theta,y=a sin^(3)theta,then find (d^2y)/dx^(2)
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- Find the derivative of (x+sinx)/(x+cosx) w.r.t. x.
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- Differentiate w.r.t. x, sin^(-1)[(2^(x+1)*3^(x))/(1+(36)^(x))].
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- If y=(sin(ax+b))/(cos(cx+d)), the find (dy)/(dx).
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- Differentiate tan^(-1)((x)/(sqrt(1-x^(2)))) w.r.t. sin^(-1)(2xsqrt(1-x...
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- If y=tan^(-1)((a)/(x))+logsqrt((x-a)/(x+a)), then prove that (dy)/(dx)...
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- If x=a((1-t^(2))/(1+t^(2))) and y=(2t)/(1-t^(2)), then find (dy)/(dx).
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- If x=a(costheta+log"tan"(theta)/(2)) and y=asin theta, then find the v...
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- Differentiate x^(xcosx)+(x^(2)+1)/(x^(2)-1) w.r.t. x.
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- If y=(sin x - cos x)^((sinx-cosx)),(pi)/(4)ltxlt(3pi)/(4), then find (...
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- If log(sqrt(1+x^(2))-x)=ysqrt(1+x^(2)), then show that (1+x^(2))(dy)/(...
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- Discuss the continuity of secant.
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- Find the set of points, where the function f given by f(x)=|2x-1|sin x...
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