Question

How to differentiate x=2^t sint ?

Answer 1

`dy/dt=2^t(cost+ ln2 sint)`

Explanation:

Let,
`y=2^t sint`

For differentiating this, we have to apply Product Rule .

`dy/dt=2^tcost+2^t ln2 sint`

`dy/dt=2^t(cost+ ln2 sint)`