Using the Tangent Line to Approximate Function Values - Page 5

Questions
  • How do you find the linear approximation of #g(x)=sqrt(1+x)#?
  • How do you estimate #(26.8)^(2/3)# using linear approximation?
  • How do I find the area between y=x^3 and it’s tangent at x=1 ?
  • Approximate the value of ln(1.1) using the tangent to f(x)=lnx at point x=1?
  • Find the linear approximation of f(x)=ln x at x=1 and use it to estimate ln(1.19 )?
  • Approximate the value #0.2# using the tangent line to #f(x)=e^x# at point #x=0#?
  • If #x# is nearly equal to one, then find the approximate value of #{mx^m-nx^n}/{m-n}#?