Proof of the Product Rule - Page 4

Questions
  • If , #y=sqrt(x/a)-sqrt(a/x)# So, Prove that ?? #2xy(dy/dx)= x/a-a/x#
  • If , #y=sqrt(x/a)-sqrt(a/x)# So, Prove that ?? #2xy(dy/dx)= x/a-a/x#
  • How can you proof #int dx/(a^2-x^2)=1/(2a) log |(a+x)/(a-x)| + c# using #x = a sintheta# ?
  • How can you proof #int dx/(a^2-x^2)=1/(2a) log |(a+x)/(a-x)| + c# using #x = a sintheta# ?
  • How can you proof #int dx/(a^2-x^2)=1/(2a) log |(a+x)/(a-x)| + c# using #x = a sintheta# ?
  • Lim x—>4 ( x^(5/2) - 4^(5/2) )/ (x-4) Answer Value ..?
  • How to show that #1/(2a) ln |(x - a)/(x + a)| + C# is equal to #1/(2a) ln |(x + a)/(x - a)| + K#?
  • How to show that #1/(2a) ln |(x - a)/(x + a)| + C# is equal to #1/(2a) ln |(x + a)/(x - a)| + K#?
  • How do I prove that this integral from a to b is equivalent to the second statement?
  • If #hatT_L# is the translation operator ,which acts on a function like this #hatT_Lf(x) = f(x-L)# and #hatx#which acts on #hatxf(x)=xf(x)# then prove #[hatT_L ,hatx]= -LT_L# ? Also how will translation operator act on the fourier transform of #f(x)#
  • Show that f^2 − g^2 = C ?
  • Use the a) and b) to prove #hatT_L = e^(LhatD)# #(a)[hatT_L,hatD]=0# #(b)[hatx,hatT_L]=-LhatT_L# ?
  • Prove that lim 1/(x^3+1)=2 when x approaches 1?
  • X+y=50 which x and y are two positive numbers (a)for which numbers x is the product of the two numbers an increasing function of x (b)what is the maximum value of their product?
  • What's the value of the following limit?
  • What will be the differentiation of it?