Differentiating Exponential Functions with Base e - Page 10

Questions
  • Calculate #int_0^1(e^x-1)/xdx =# ?
  • How to calculate this? #lim_(n->oo)sum_(k=1)^n(2k+1)/(k!)#
  • How to find formula for nth derivative of #f(x)=e^(2x)(x^2-3x+2)#?
  • #f(x) =-3e^(x+4)+e^-3# Find #f'(x)# ?
  • Given #a > 0, b > 0, c > 0# calculate the minimum for #(a^x+b^x+c^x)/3# ?
  • How do you find the area under the curve #y=1/2(e^x + e^-x)# from #x=-2# to #x=2#?
  • Y=7xe^x2 help me diffrentiate?
  • A person 6 feet tall is walking away from a lamppost that is 15 ft tall at a rate of 6 ft/sec. At what rate is the end of the person's shadow moving away from the lamppost?
  • What is the expansion of #e^(-x)#?
  • Find a General formula for f^(n) (x)?
  • Given: #f(x) = { (e^(kx) " if " x >= 0), (kx+1 " if " x < 0) :}#. If #f(x)# is infinitely differentiable, then what is the value of #k# ?
  • Find dy/dx if y= x^e e^x ?
  • How do you Differentiate square root of e to the power of square root of x?
  • 1+e^x dy/dx+e^x(y)=0? Sir please solve this it will be done through integrated factor
  • Given that #xe^y = x+1#, show that #e^y + xe^ydy/dx = 1#?
  • Form a differential equation if #y=e^x#?
  • How do you differentiate y = f(x) = e^((3x^2)+5x) with respect to x?
  • #x^2 dy/dx +2x^2y= x^2 e^(-2x)# PLEASE HELP Integrating factor?