problem 1-section2.1

Question

 Let f(x)=x^2-2x. Calculate the difference quotient (f(2+h)-f(2))/(h)

h=.1

h=.01

h=-0.1

h=-.1

slope of the tangent line to the graph of f(x) at x=2 is m=limhto0 (f(2+h)-f(2))/(h)=

the equation of the tangent line to the curve at the point (2.4) is y=

Answer 1

Be sure to pause the video and take notes on how to simplify the difference quotient.

Then visit this URL to see what is going on with regard to the tangent line:

https://www.desmos.com/calculator/mnrxlt91v7