could someone please tell me step by step how to solve this equation?Because i am completely lost. Find dy/dx for e^xy+x^2-y^2=10
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Originally Posted by geryuu could someone please tell me step by step how to solve this equation?Because i am completely lost. Find dy/dx for e^xy+x^2-y^2=10 Implicit differentiation (derive each term both according to x and to y): e^xy + x^2 - y^2 = 10 ==> ye^xy dx + xe^xy dy + 2x dx - 2y dy = 0 ==> (ye^xy + 2x)dx = (2y - xe^xy)dy ==> dy/dx = (ye^xy + 2x)/(2y - xe^xy) Tonio
Use $\displaystyle \frac{dy}{dx} = \frac{-F_x}{F_y} $ Do you know how to find $\displaystyle F_x$ and $\displaystyle F_y$ ?
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