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y=e^(x)"sin"5x then find (d^2y)/(dx^(2))...

`y=e^(x)"sin"5x` then find `(d^2y)/(dx^(2))`.

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To find the second derivative \(\frac{d^2y}{dx^2}\) of the function \(y = e^x \sin(5x)\), we will follow these steps: ### Step 1: Find the first derivative \(\frac{dy}{dx}\) Given: \[ y = e^x \sin(5x) \] We will apply the product rule, which states that if \(y = u \cdot v\), then: ...
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