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If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3), ...

If `sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3),` then prove that `(dy)/(dx)=(x^2)/(y^2)sqrt((1-y^6)/(1-x^6))`

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CENGAGE ENGLISH-LIMITS AND DERIVATIVES-All Questions
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  2. Let g(x) be the inverse of an invertible function f(x) which is diff...

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  3. If sqrt(1-x^6)+sqrt(1-y^6)=a(x^3-y^3), then prove that (dy)/(dx)=(x^2...

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  4. Let f: R->R be such that f(1)=3 and f^(prime)(1)=6. Then lim(x->0)((f...

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  5. If cosy=xcos(a+y), with cosa!=+-1, prove that (dy)/(dx)=(cos^2(a+y))/(...

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  12. If x=y+sin^2x then at x=0 ,(dy)/dx=

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  13. Differentiate sin^(-1)(2xsqrt(1-x^2)) with respect to x.

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  14. If f(x)=|x-2| a n d g(x)=f[f(x)],t h e n g^(prime)(x)= for x>20

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