First Principles Example 3: square root of x - Page 6

Questions
  • What is the value of #int sqrt(x^2 + 4x +13) dx#?
  • Y=(x-1)(x-2)/√x Find dy/dx for the following function?
  • What are the absolute extreme values of the function #f(x) = x/sqrt(x^2+1)# on the interval #[0,2]#?
  • How do you find the derivative of #f(x) = 1/sqrt(5x-2)# by first principles?
  • If #y = log_(sqrtx) x#, what is #(dy)/(dx)#?
  • How to prove that #e^x-x# is decreasing for x<0, without using derivatives?
  • If #g(x)# is the antiderivative of #f(x) = root3(x^2+4x)#, what is the value of #g(1)#?
  • How to find f '(a). f(x) = √ 2-6x ?
  • Y={√x+1/√x}² Find the dy/dx for this function?
  • Was this answer right? #int sqrt(5+4x-x^2)dx#?
  • What is the function of the derivative f'(x)=1/x^2?
  • What is the derivate for #2013root2013x# ?
  • What is the derivative of #f(x) = x^2/(e^x-1)# at #x=0# ?
  • How much should the student center charge for a cup of coffee in order to maximize revenue?
  • If #f(x)=2#, what is #f'(x)#? What about #f'(1), f'(2),# and #f'(3)#?
  • How do you calculate #lim x->3# of #(x^2-2x-3)/(x-3)#?
  • What is the correct way to solve this? Explain in steps. Thank you.
  • Find # int \ ln(sqrt(x))/x dx #?
  • What is the integral of #(x^(-4) - sqrt(x^3) + 7)^2#?
  • What is the antiderivative of #n^x#?