Mathematics, 04.07.2019 04:00 madmatt873
Find dy/dx by implicit differentiation. y cos x = 5x2 + 3y2
Answers: 1
in front of each term![\frac{d}{dx}[y cos x]= \frac{d}{dx}[5x^2]+ \frac{d}{dx}[ 3y^2]](/tpl/images/0048/8317/37bad.png)
![\frac{d}{dx}[ycosx]= 10x+ \frac{d}{dx} [3y^2]](/tpl/images/0048/8317/84bcd.png)
![\frac{d}{dx}[ycosx]=10x+6y \frac{dy}{dx}](/tpl/images/0048/8317/26d7e.png)
the subject
![[cos(x) - 6y] \frac{dy}{dx}=10x + y sin(y)](/tpl/images/0048/8317/e1c9c.png)
⇒ Final Answer
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Find dy/dx by implicit differentiation. y cos x = 5x2 + 3y2...
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