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flatantsmu

Answered question

2022-10-08

How do you differentiate

y \sin x = y

trutdelamodej0

Beginner2022-10-09Added 11 answers

You can use the product rule, like the usual. Just remember that the derivative of y with respect to x in

\frac{d f}{d x}

\frac{d y}{d x}

With

f (x) : y \sin x = y

\frac{d f}{d x} [y \sin x = y] = y \cos x + \sin x (\frac{d y}{d x}) = \frac{d y}{d x}

\frac{d y}{d x} [1 - \sin x] = y \cos x

\frac{d y}{d x} = \frac{y \cos x}{1 - \sin x}

If you check Wolfram Alpha, you'll see this, just multiplied by −1.

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