For the implicitly-defined function, calculate the derivative with respect to 𝑥. 𝑥^(1/2)+𝑦^(3/4)=−2𝑦 dy/dx =

Question

For the implicitly-defined function, calculate the derivative with respect to  𝑥.  𝑥^(1/2)+𝑦^(3/4)=−2𝑦     dy/dx =

Raymond B. · Accepted Answer

x^1/2 + y^3/4  = -2y(1/2)/x^1/2  + (3/4)y^-1/4 dy/dx = -2 dy/dx(2 + (3/4)y^-1/4 dy/dx =  -1/2sqr(x)dy/dx = -1/[(2sqrx)(2+(3/4)y^-1/4)]

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