A Level

MATHEMATICS · Single correct · A Level · Mathematics · Differentiation · Differentiation

Problem

ddx[eaxsin⁡(bx+c)]=\frac{d}{dx} \left[ \frac{e^{ax}}{\sin(bx + c)} \right] = (a) eax[asin⁡(bx+c)+bcos⁡(bx+c)]sin⁡2(bx+c)\frac{e^{ax}[a \sin(bx + c) + b \cos(bx + c)]}{\sin^2(bx + c)} (b) eax[asin⁡(bx+c)−bcos⁡(bx+c)]sin⁡(bx+c)\frac{e^{ax}[a \sin(bx + c) - b \cos(bx + c)]}{\sin(bx + c)} (c) eax[asin⁡(bx+c)−bcos⁡(bx+c)]sin⁡2(bx+c)\frac{e^{ax}[a \sin(bx + c) - b \cos(bx + c)]}{\sin^2(bx + c)} (d) None of these

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