First Principles Example 2: x³ - Page 3

Questions
  • How to find the derivative of the following function F(x)=∫ (2t−1)^3dt (a=x^3 & b=x^4) ?
  • What is the derivative of #f(x) = x^2lnx+x^3-lnx#?
  • What is the derivative of #f(x) = 1/xlnx#?
  • What is #int_(0)^(2) x^3*e^(x^2)dx #?
  • What is #int_(2)^(3) (x-1)/(x^3)+x^2dx #?
  • What is #int (x^3+8) *(x^2-2x+4)dx#?
  • How do I find the derivative of #x^3 - 2x^2 + x/4 +6# using first principles?
  • Let y=ln(x) find the fifth derivative of y pls? (d^5y/dx) the one in curry bracket is same as fifth derivative so pls don't get confused
  • What is the derivative of #f(x) = (x^3-x^2)/(lnx^2+lnx)#?
  • If #f(x) = (3x^2 + x)/(3x^2 -x)#, what is #f'(x)#?
  • What is the derivative of #f(x) = (x^3-(lnx)^2)/(lnx^2)#?
  • Given that #y=ln((x-3)/(x+3))#, how do you show that #(dy)/(dx)=6/(x^2-9)#?
  • How do you evaluate #int(x)/(x^2+1)^(3/2) dx#?
  • If #g(x) = x^5(4.5)^x#, what is #g'(x)#?
  • What is #int_(1)^(22) (x^3)ln(x) dx #?
  • What is #int5x ^ { 4} d x#?
  • What are all functions whose second derivative is #3x+4#?
  • If #g(x)=x/(e^x)#, what is #g^(n) (x)#?
  • How do I find the derivative of #f(x)=x^3# from first principles?
  • What is the derivative of #x^n#?