IMPLICIT DIFFERENTIATION - Steps of solution for implicit function - Step 1 : differentiate the whole equation wrt \( x \) \[ \frac{d}{d x}\left(x^{2}+y^{2}-2 \sin y\right)=\frac{d}{d x}(5) \] - Step 2 : apply properties of differentiation - Step 3 : rearrange and factorize
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\[ \frac{d}{dx}\left(x^2 + y^2 - 2\sin y\right) = \frac{d}{dx}(5) \] Show more…
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Consider the following equation 2x^2 - y^2 = 5 (a) Find y' by implicit differentiation. y' = sqrt(-5 + 2x^2) (b) Solve the equation explicitly for y and differentiate to get y' in terms of x. y' = +/- sqrt(-5 + 2x^2)
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