Question

How do you differentiate `y=5e^x`?

Answer 1

`dy/dx = 5e^x`

Explanation:

You should know that the exponential function ,`e^x` where `e` is Euler's Number (2.7182 ...), is the only function that remains unchanged when differentiated.

i.e `d/dx(e^x) = e^x`

So if `y=5e^x => dy/dx = d/dx(5e^x)`
`:. dy/dx = 5d/dx(e^x)`
`:. dy/dx = 5e^x`