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# Differentiate with respect to t. y = d cos(t) + t^{2} sin(t)

**Solution:**

Given y = d cos(t) + t^{2} sin(t)

Let us differentiate y w.r.t t

dy/dt = d cos(t)/dt + d(t^{2} sin(t))/dt

Since, d/dt (uv) = udv/dt + vdu/dt

Here u = t^{2} and v =sint

dy/dt = -sin(t) + {t^{2}cos(t) + sin(t)2t}

dy/dt = t^{2}cos(t) + sin(t){2t - 1}

## Differentiate with respect to t. y = d cos(t) + t2 sin(t)

**Summary:**

Differentiating with respect to t for y = d cos(t) + t^{2} sin(t), we get t^{2}cos(t) + sin(t){2t - 1}

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