lim = 0 and lim = ex ex Derivatives of Exponential Functions (Pages What you should How to differentiate Let be a differentiable function of Complete the following u x. natural exponential rules of differentiation for the natural exponential function: functions d . ex = dx d [du/dx] . = eu dx Example 3: Find the derivative of (x) = . f x2ex 2xex + x2ex Integrals of Exponential Functions (Pages What you should learn How to integrate natural Let be a differentiable function of u x. exponential functions = dx + ex C = + eu C du Find . Example 4: dx x (1/2) + e2x C Homework Assignment Page(s) Exercises
lim ex = 0 and lim ex = Derivatives of Exponential Functions (Pages Let u be a differentiable function of x. Complete the following rules of differentiation for the natural exponential function: What you should How to differentiate natural exponential functions d = ex . dx d = eu [du/dx] . dx Example 3: Find the derivative of 2xex + x2ex f (x) = x2ex . Integrals of Exponential Functions (Pages Let u be a differentiable function of x. What you should learn How to integrate natural exponential functions dx = du = ex + C eu + C Example 4: Find x dx . (1/2) e2x + C Homework Assignment Page(s) Exercises