First Principles Example 2: x³ - Page 2

Questions
  • What is the derivative of f(x)=10(5.1)^x+21(0.22)^x+5e^x?
  • What is the derivative of #y=x/(5-3x)#?
  • How can I solve this differential equation, #y'''-3y''+7y'-5y=x#, using undetermined coefficients?
  • What is the derivative of ln(x^3 • sin x ^2)?
  • How do you find the #n#th derivative of #1/(x^2-9)#?
  • How to show that dy/dt = x(1-x)dy/dx, if y is a function of x and x=e^t/e^t+1?
  • What is the antiderivative of (t - 2)dt from x to 3x?
  • If #u= (1-2xy+y^2)^-1/2# , then show that #x(partial u)/(partial x)-y(partial u)/(partial y)= y^2u^3# ?
  • What is the integrate of x^2/(x-1)^3 ?
  • Antiderivative of ;( (7x-2x^3)e^x^4-7x^2 )dx ?
  • What is the derivative of #f(x) = e^(x^2 + lnx^3)#?
  • Hi, can i ask what is the differentiate of (1+x^3/2x^2)? Please Thanks thanks for answering my first question :)
  • How do I solve this problem?
  • What is the right answer?
  • What is the derivative of #xe^(y^x)#?
  • How do you find the derivative of #y= (1/3)x^3 - 5x - 4/x#?
  • 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
  • Find the derivative of #t^3+t^2# using first principles?
  • How do I find the derivative of #f(x)=x^3# from first principles?