हिंदी

Given \[y=a\sin(x+b)\], what is \[\frac{d^{2}y}{dx^{2}}\]?

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प्रश्न

Given \[y=a\sin(x+b)\], what is \[\frac{d^{2}y}{dx^{2}}\]?

विकल्प

  • \[\frac{d^{2}y}{dx^{2}}=-a\sin(x+b)\]

  • \[\frac{d^{2}y}{dx^{2}}=a\sin(x+b)\]

  • \[\frac{d^{2}y}{dx^{2}}=-a\cos(x+b)\]

  • \[\frac{d^{2}y}{dx^{2}}=a\cos(x+b)\]

MCQ
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उत्तर

Differentiate \[a\cos(x+b)\] with respect to \[x\]. Since the derivative of cosine is negative sine, the result is \[-a\sin(x+b)\].

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