Proof of Quotient Rule - Page 3

Questions
  • How do you differentiate #f(x)=(-4x)/(x^2-1)# using the quotient rule?
  • Show that #f# is strictly increasing in #RR# ?
  • What is the quotient rule?
  • How to het f'(x) using the quotient rule on this function: 2x-3 divided by x^2.5?
  • How to het f'(x) using the quotient rule on this function: 2x-3 divided by x^2.5?
  • If #a,b and c# are the #p^(th)#, #q^(th)# and #r^(th)# term of an AP then show that #p(b-c)+q(c-a)+q(a-b)=0#?
  • Prove that: lim x→2 (√3 - x - 1/2 - x) = ½ ?
  • Finding the derivative using quotient rule?
  • How I can to continue this limit #\lim_{xto0^+}\frac{1}{x}-\frac{1}{x^2}#??
  • #f(x-y)=f(x)/f(y)# and #f^'(0)=p,f^'(a)=q# then what is #f^'(-a)?#
  • How to differentiate #1/(2x+1# by first principles?
  • Prove that f is invertible and find (f^-1)'((1)/(2) ?
  • If #u= y/x+ z/x + x/y#, show that #x(partial u)/(partial x)+y(partial u)/(partial y)+z(partial u)/(partial z)=0# ?
  • What is the maximum value of #Q(p,q,r)=2pq+2pr+2qr# subject to #p+q+r=1#?
  • Calculate enough derivatives to guess the general formula for #f^((n))(x)#. And proof this by mathematical induction. #f(x) = 1/2-x# and #f(x) = cos(ax)#?
  • Defferentiate f(x) = x-1/x+1 ? Thank you
  • If #h(x)=p(x) * q(x) * r(x)# what is #h'#?
  • How do you differentiate #f(x)=(2x)/(sqrt(5x^2 -2x + 1))# using the quotient rule?
  • How do you show that #sum_(k=0)^(n-1) z^k = (1 - z^n)/(1-z)# ?