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Find (dy)/(dx) in the following 2x + ...

Find `(dy)/(dx)` in the following
`2x + 3y = sin x `

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AI Generated Solution

To find \(\frac{dy}{dx}\) for the equation \(2x + 3y = \sin x\), we will use implicit differentiation. Here’s the step-by-step solution: ### Step 1: Differentiate both sides with respect to \(x\) We start with the equation: \[ 2x + 3y = \sin x \] Now, we differentiate both sides with respect to \(x\): ...
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Knowledge Check

  • Find (dy)/(dx) in the following: y=sin^(-1)((2x)/(1+x^(2)))

    A
    `2/(1+x^2)`
    B
    `5/(4+x^2)`
    C
    `1/(3+x^2)`
    D
    `5/(6+x^2)`

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