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Popular >

implicit x^2+4y^2=4

Solution

implicit derivative

x^{2} + 4 y^{2} = 4

Solution

\frac{d y}{d x} = - \frac{x}{4 y}

Solution steps

x^{2} + 4 y^{2} = 4

Treat

y

as

y (x)

Differentiate both sides:

2 x + 8 y \frac{d y}{d x} = 0

Isolate

\frac{d y}{d x} : \frac{d y}{d x} = - \frac{x}{4 y}

\frac{d y}{d x} = - \frac{x}{4 y}

Popular Examples

implicit (dy)/(dx),y=x^3 implicit derivative

\frac{d y}{d x}, y = x^{3}

y^'+y=e^x,y(0)=1

y^{^{'}} + y = e^{x}, y (0) = 1

tangent of e^x+1 tangent of

e^{x} + 1

(e^{5 x})^{^{'}}

limit as x approaches 2+of (x-3)^2

x \to 2 + lim ((x - 3)^{2})

Frequently Asked Questions (FAQ)

What is implicit x^2+4y^2=4 ?
The answer to implicit x^2+4y^2=4 is (dy)/(dx)=-x/(4y)