5 implicit differentiation ge 207c x tan x y

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Unformatted text preview: y 2 xy "x% f ( x ) = 4 sin −1 $ ' − 16 − x 2 #4& Hung Nguyen Problem Set 07 Solution 3.5 Implicit Differentiation GE 207C !x$ tan # & = x + y " y% h. Solution: ⎛ྎ x ⎞ྏ d ⎡ྎ ⎛ྎ x ⎞ྏ⎤ྏ d tan ⎜ྎ ⎟ྏ = x + y ⇒ ⎢ྎ tan ⎜ྎ ⎟ྏ⎥ྏ = [x + y ] ⎜ྎ y ⎟ྏ dx ⎣ྏ ⎜ྎ y ⎟ྏ⎦ྏ dx ⎝ྎ ⎠ྏ ⎝ྎ ⎠ྏ ⎛ྎ x ⎞ྏ y ⋅ 1 − xy' ∴ sec 2 ⎜ྎ ⎟ྏ ⋅ = 1 + y' ⎜ྎ y ⎟ྏ y2 ⎝ྎ ⎠...
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