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SHARAM PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXAMPLE
- Find all points of discontinuity of f, where f is defined by f(x)={:{(...
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- Find the derivative of tan^(-1)((cosx+sinx)/(cosx-sinx)) w.r.t. x.
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- What is the derivative of e^(3logx) w.r.t.x?
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- If u=t^2and v=sint^2then dv/du=.
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- If y=sec^(-1)(sqrtx+1)/sqrtx+sin^(-1)fracsqrtx(sqrtx+1)then dy/dx=
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- Write the derivative of sinx with respect to cosx.
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- If y=sin^(-1)[xsqrt(1-x)-sqrt(x)sqrt(1-x^(2))] then find (dy)/(dx)
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- if e^x+e^y=e^(x+y) then show that (dy)/(dx)+e^(y-x)=0.
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- Differentiate tan^(-1)((x)/(sqrt(1-x^(2)))) w.r.t. sin^(-1)(2xsqrt(1-x...
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- Differentiate tan^(-1)((x)/(sqrt(1-x^(2)))) w.r.t. sin^(-1)(2xsqrt(1-x...
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- Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) w.r.t sin^(-1)((2x)/(1+x^2))...
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- Write that condition of Rolle’s theorem which is violated by the funct...
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- If f(0)=0,f'(0)=2 then what is the derivative of y = f(f(f(f(x)))) at...
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- If y = tan^(-1)(1/(1+x+x^2)) + tan^(-1)(1/(x^2+3x+3)) + tan^(-1)(1/(x^...
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- If x=a(cos t + log tan (t/2)),y=a sin t, then what is (d^2y)/(dx^2) at...
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- What is the first derivative of cos^(-1) (sin(sqrt(1+x)/2))+x^x w.r.t ...
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- If f(x)=|logx| then for x!=1, then what is f'(x)?
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- If y=|cosx|+|sinx| then what is (dy)/(dx) at x = (2pi)/3 ?
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- If f(x)=logx^(2)(logx), then f(e)
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- If y = tan^(-1)[(x/log ex^3)] + tan^(-1)[(5 + 3logx)/(1-15logx)] then ...
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