Question

Whatb is differentiation of e^ax^2+b...?

Answer 1

Please see below.

Explanation:

Answer 1

As presented, the question asks for the derivative (presumably with respect to `x`) of

`y = e^ax^2+b`.

Assuming that `a` and `b` are constants, `e^a` is a constant, so we can simply use the power rule to get

`dy/dx = 2e^ax`

Answer 2

It seems likely that the intended question asks for the derivative (presumably with respect to `x`) of

`y = e^(ax^2+b)`.

For this we need the chain rule for `e` to a power which can be written

`d/dx(e^u) = e^u * (du)/dx " "` or `" "d/dx(e^(g(x))) = e^(g(x)) * g'(x)`

We get

`dy/dx = e^(ax^2+b) * 2ax`.

We might prefer to write this: `dy/dx = 2axe^(ax^2+b)`