(e^u)(du/dx)
d/dx e^u
We can use the chain rule to differentiate the expression (e^u)(du/dx):
d/dx[e^u·(du/dx)] = e^u·(d/du[du/dx])·(du/dx)
Simplifying,
d/dx[e^u·(du/dx)] = e^u·d^2u/dx^2
Therefore, the derivative of (e^u)(du/dx) with respect to x is e^u times the second derivative of u with respect to x (i.e. d^2u/dx^2).
More Answers:
Understanding the Properties of the Sine Function – Domain, Range, Symmetry, Intercepts, Period, Amplitude, and ExtremaSolve Linear Equations with Ease Using Slope-Intercept Form: A Complete Guide.
Mastering the Point-Slope Form: An Essential Tool for Linear Algebra
Error 403 The request cannot be completed because you have exceeded your quota. : quotaExceeded