First Principles Example 3: square root of x - Page 5

Questions
  • How do you find #\lim _ { x \rightarrow \infty } \frac { \sqrt { x ^ { 2} + x } } { 2x }#?
  • How do you solve #3\ln ( x - 5) = - 3#?
  • If #y=f(x)=u^2+3u#, where #u=sqrt(x-1)#, find #d/(dx)(f(5))#?
  • What is the first differential of #y=ln(sqrt(x^3-x))#?
  • Find # 2 int_0^1 xsqrt(1-x^2) dx #?
  • How you calculate this? #int_1^ndx/(x+|__x__|)#
  • How to calculate this? #int_0^3sqrtx/(sqrt(x)+sqrt(3-x))#.
  • Is there a simple way to solve #int(x^2-1)/(x^3+x)dx#?
  • How do you evaluate #int sqrt(9-x^2) dx#?
  • Why is the derivative of lnx = 1/x? Also, why is the derivative of e^x = e^x?
  • What is the derivative of #xlogx#?
  • We have #P(x)=(x^2+x+1)^2015+x+1#.How to find the rest of division of #P(x)# with #x^2+1#?
  • What is the derivative of #ln(8x)^(1//2)#?
  • What is the integral of #(1/sqrt(4-x^2))#?
  • What is #\lim _ { x \rightarrow 0^ { + } } \sqrt { x} \ln ( x ) #?
  • What is the integration of square root x limit 1 to 4?
  • What is the integration of square root x limit 1 to 4?
  • What is the differentation of #1/x#?
  • How do you evaluate #int_0^1# #sqrt(x - x^2)# dx?
  • If #g(x)# is the antiderivative of #f(x) = root3(x^2+4x)#, what is the value of #g(1)#?