Consider the parabola y=2x^2. Find the slope of the tangent line at the point (5,25). See photo below.
The problem I have with this is that point (5,25) does not lie on parabola y=2x^2.
y'=4x = y'=4(5)=20 , slope=20 , 25=20(5)+b = y=20x-75 Correct?
Only the parabola and tangent line do not touch if you graph them. Am I missing something, or is this a possible typo? Thanks.
The problem I have with this is that point (5,25) does not lie on parabola y=2x^2.
y'=4x = y'=4(5)=20 , slope=20 , 25=20(5)+b = y=20x-75 Correct?
Only the parabola and tangent line do not touch if you graph them. Am I missing something, or is this a possible typo? Thanks.