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BODY BOOKS PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
- Given that y=asin nx+b cos nx. Compute(d^2y)/dx^2
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- Given that y=asin nx+b cos nx. Show that(d^2y)/dx^2+n^2y=0.
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- Differentiate sin(x^2/3-1) with respect to x.
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- Differentiate log{sin(x^2/3-1)} with respect to x.
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- Differentiate sqrt(log{sin(x^2/3-1)} with respect to x.
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- Consider y=(xsin^-1x)/(sqrt(1-x^2)) Differentiate x. sin^-1x with resp...
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- Verify mean value theorem for the function f(x)=(x-2)^2 in [1,4] .
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- Find a point on the curve y=(x-2)^2 at which the tangent is parallel t...
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- If y=sin(m sin^-1x), Find dy/dx.
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- If y=sin(m sin^-1x). Show that sqrt(1-x^2)dy/dx=mcos(msin^-1x)
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- If y=sin(m sin^-1x), Hence prove that (1-x^2)(d^2y)/dx^2-xdy/dx+m^2y=0...
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- Verify Lagrange 's mean value theorem, if f(x)=x^3-5x^2-3x in the inte...
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- Using mathematical induction prove that d/(d x)(x^n)=n x^(n-1) for all...
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- Choose the correct answer from the bracket. If x=sin t and y= cos t, t...
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- Find the value of k such that the function f(x) defined by f(x)={(kx-1...
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- If y^x=e^(y-x), prove that dy/dx=(1+logy)^2/logy.
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- Find the value of a such that the function f(x) defined by f(x)={(ax+3...
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- If x=acos^3theta and y=asin^3theta. Prove that 1+(dy/dx)^2=sec^2theta.
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- Choose the correct answer from the bracket. If x=at^2,y=2at, then the ...
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- Is the function defined by f(x)={(x+3,ifxle1),(x-3,ifx>1):} a continuo...
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