Calculus : d/dx[e^x+45x^(-1)]..

d/dx[e^x+45x^(-1)]

=d/dx[e^x]+d/dx[45.x^(-1)]

= e^x+(-1).45.x^[-1-1]

=e^x - 45.x^[-2]

= e^x - 45/(x^2)

d/dx[e^x+45x^(-1)]
=d/dx(e^x)+45d/dx(1/x)
= e^x-45/x^2

d/dx(e^x)+45d/dx(1/x)
=e^x-45/x^2.

d(e^x+45x^(-1)= e^x-45X^(-2)