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

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

1.	If `sqrt(1-x^6)+sqrt(1-x^6)=a(x^3-y^3),`then prove that `(dy)/(dx)=(x^2)/(y^2)sqrt((1-y^6)/(1-x^6))`A. `(y)/(x)`B. `(x^(2))/(y^(2))`C. `(2y^(2))/(x^(2))`D. `(y^(2))/(x^(2))`
Answer» Correct Answer - B

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Find `(dy)/(dx)`, when: `y=e^(x)sin^(3)xcos^(4)x`
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The slope of the tangent to the curve `(y-x^5)^2=x(1+x^2)^2`at the point `(1,3)`is.
If for `x (0,1/4),`the derivative of `tan^(-1)((6xsqrt(x))/(1-9x^3))`is `sqrt(x)dotg(x),`then `g(x)`equals:`(3x)/(1-9x^3)`(2) `3/(1+9x^3)`(3) `9/(1+9x^3)`(4) `(3xsqrt(x))/(1-9x^3)`A. `(3)/(1+9x^(3))`B. `(9)/(1+9x^(3))`C. `(3xsqrt(x))/(1-9x^(3))`D. `(3x)/(1-9x^(3))`
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If `f(theta) = sin(tan^(-1)(sintheta/sqrt(cos2theta)))`, where `-pi/4 lt theta lt pi/4,` then the value of `d/(d(tantheta)) f(theta)` is