Question

need a bit of help here...

A curve in the (x, y) plane is defined by the equation
y= integral from 0 to g(x) of e^x^2−e^t^2 dt

where g(0)=1.

If the curve has slope −3 at the point x = 0, find the value of g′(0).

Answer 1

i know that y' = -3.
and i got this far:



since the function is depending on dt