$e^{-4x}$ = y′
You asked:
Investigate the equation: \({e}^{-\left( 4 x \right)} = y^{\prime}\).
MathBot Answer:
\[y{\left(x \right)} = - \frac{e^{- 4 x}}{4} + C_{1}\]
\(C_{1}\) is an arbitrary constant.
\(e\) is Euler's number, a mathematical constant that is approximately \(2.71828\).