Question

if 5x^2-xy-4y^2=-4, thendy/dx=​

Answer 1

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Q1)if 5x²-xy-4y²=-4 then dy/dx=??

$\large\blue{\rm\:Answer}$

$\: \: \: \dashrightarrow \boxed{ \bf \purple{ \: to \: find \: the \: value \: of \: \frac{dy}{dx}}}$

$\: \heartsuit\boxed { \rm{ \: 5 {x}^{2} - xy - {4y}^{2} = - 4 \: \: .......given \: equation}}$

$\: \implies \bf{ 5 {x}^{2} - xy - {4y}^{2} = - 4}$

$\: \: \: \implies \bf{ \frac{dy}{dx} = 2 \times 5x - x \frac{dy}{dx} + y - 8y = 0}$

$\implies \bf{ \frac{dy}{dx} = 10x - x \frac{dy}{dx} + y - 8y = 0}$

$\: \: \star \boxed { \bf \red{ \: \frac{dy}{dx} = 10x - x \frac{dy}{dx} + y - 8y = 0 \: is \: the \: answer}}$