Find y'' by implicit differentiation. 2x2 + y2 = 5
Added by Jesse B.
Step 1
Step 1: Differentiate both sides of the equation \(2x^2 + y^2 = 5\) with respect to \(x\): \[ \frac{d}{dx} (2x^2 + y^2) = \frac{d}{dx} 5 \] \[ 4x + 2y \frac{dy}{dx} = 0 \] \[ 2y \frac{dy}{dx} = -4x \] \[ \frac{dy}{dx} = \frac{-4x}{2y} = \frac{-2x}{y} \] Show more…
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