Math  /  Calculus

QuestionFind dydx\frac{d y}{d x} by implicit differentiation. 3x4y5x+y2=93 x^{4} y^{5}-x+y^{2}=9
Select the correct choice below and fill in the answer box(es) to complete your choice. A. dydx=\frac{d y}{d x}= \square with \square 0\neq 0 B. dydx=\frac{d y}{d x}= \square for all real values of xx and yy

Studdy Solution
dydx\frac{dy}{dx} ifadesini çözmek için her iki tarafı (15x4y4+2y)(15x^4 y^4 + 2y) ile böl:
dydx=112x3y515x4y4+2y \frac{dy}{dx} = \frac{1 - 12x^3 y^5}{15x^4 y^4 + 2y}
Çözüm:
A. dydx=112x3y515x4y4+2y\frac{dy}{dx} = \frac{1 - 12x^3 y^5}{15x^4 y^4 + 2y} ve (15x4y4+2y)0(15x^4 y^4 + 2y) \neq 0

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