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NCERT ENGLISH-CONTINUITY AND DIFFERENTIABILITY-SOLVED EXAMPLES
- Find (dy)/(dx)if x-y =pi
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- Find (dy)/(dx), if y + siny = cosx
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- Find the derivative of f given by f(x)=sin^(-1)xassuming it exists.
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- Find the derivative of / given by f(x)=tan^(-1)xassuming it exists.
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- Find df/dx if f(x) = (sin x) ^ sin x for all o lt x lt pi .
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- Differentiate sin^2xw.r.t e^(cosx).
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- Differentiate the following w.r.t x.(i) sqrt(3x+2)+(1/(sqrt(2x^2 + 4))...
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- Find f'(x)if f(x)=(sinx)^(sinx)for all 0<x<pi
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- Verify Rolles theorem for the function y=x^2+2,a=-2and b = 2.
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- Verify the Mean Value Theorm for f(x)=x^2 in the interval [2,4].
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- If y=3e^(2x)+2e^(3x). Prove that (d^2y)/(dx^2)-5(dy)/(dx)+6y=0.
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- If y=sin^(-1)x, show that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)=0.
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- Find all the points of discontinuity of the function f defined byf(x)...
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- Discuss the continuity of the function f defined byf(x)={x+2ifxlt=1 x-...
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- Discuss the continuity of the function f given by f(x)={(x , ifxgeq0),...
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- Discuss the continuity of the function defined byf(x)={x+2, if x<0-x+2...
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- Find all the points of discontinuity of the greatest integer function...
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- Show that every polynomial function is continuous.
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- Discuss the continuity of sine function.
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- Prove that every rational function is continuous.
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