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If x=acostheta,y=bsintheta, then prove t...

If `x=acostheta,y=bsintheta,` then prove that `(d^3y)/(dx^3)=(3b)/(a^3)cos e c^4thetacotthetadot`

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If x=acostheta , y=bsintheta , show that (d^2y)/(dx^2)=-(b^4)/(a^2y^3) .

If x=asectheta , y=btantheta , prove that (d^2y)/(dx^2)=-(b^4)/(a^2\ y^3) .

If x=asectheta,y=btantheta,"prove that"(d^2y)/(dx^2)=-(b^4)/(a^2y^3)

If x=costheta,y=sin^3theta,"prove that" y(d^2y)/(dx^2)+((dy)/(dx))^2=3sin^2theta(5cos^2theta-1)dot

If x=acostheta,y=bsintheta," then"(d^(3)y)/(dx^(3)) is equal to

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If x=costheta , y=s in^3theta , prove that y\ (d^2y)/(dx^2)+((dy)/(dx))^2=3\ s in^2theta(5\ cos^2theta-1) .

If y=log(sinx) , prove that (d^3y)/(dx^3)=2cosx cos e c^3x .

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  2. Find (dy)/(dx) for the function: y=sin 2x - x^4 + e^(-3x)

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  3. If x=acostheta,y=bsintheta, then prove that (d^3y)/(dx^3)=(3b)/(a^3)co...

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