find the derivative of this function (880/x)*(1-exp(-0.113636*x))-27

asked by guest
on Oct 26, 2024 at 5:30 pm



You asked:

Find the derivative of the function \(\frac{880}{x} \cdot \left(1 - {e}^{-0.113636 \cdot x}\right) - 27\) with respect to \(x\).

MathBot Answer:

\[\frac{d}{d x}\left[\frac{880}{x} \cdot \left(1 - {e}^{-0.113636 \cdot x}\right) - 27\right] = \frac{312499 e^{- \frac{28409 x}{250000}}}{3125 x} - \frac{880 \cdot \left(1 - e^{- \frac{28409 x}{250000}}\right)}{x^{2}}\]