Question

differentiate the followin function with respect to x. = x sin nx​

Answer 1

Answer:

↪y=xsinnx

we know the formula

y= u/v

dy/dx= u.dv/dx+v.du/dx

⚫y=x.sinnx

↪diff wrt X...

↪dy/dx=x. d/dx[ sinnx] + sinnx. d/dx[x]

↪= X. cosnx . d/dx(nx)+ sinnx. 1

↪=X. cosnx.n+sinnx

=X. cosnx. n+sinnx