Question

find the nth derivative of y=e^x.sin4x.cos6x
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Answer 1

We recall the concept of derivative.

Derivative is a rate of change of a function.

Given:$y=e^{x} sin4xcos6x$

Here we write

$y=uv$

where,

$u=e^{x} \\v=sin4xcos6x$

$n^{th}$ derivative of $y$ is

$y=Summation(nC_{r} u^{r}v^{n-r} )$

Answer 2

Answer:

e^x (100)^n/2/2 sin(10x+ntan