- #1
Dorslek
- 14
- 0
1. In the Khan academy video I watched on partial derivatives, I understand absolutely everything except for the last 20 seconds which confused me.
http://www.youtube.com/watch?v=1CMDS4-PKKQ
Using the formula:
Z = x² + xy + y²
@z/@x = 2x +y
x=0.2, y=0.3
2(.2) + .3 = .7
What I know this means: At an x value of 0.2 and a y constant of 0.3, the slope of the tangent line will be 0.7.
At the end of the Khan video though, he stated:
"So everytime X increases, 1, Z will increase by 0.7"
Did I miss something or is this a mistake? What is in the video is a curve that is constantly changing so the slope will always be different. The only way to say that every increase in X will result in 0.7 is if we are dealing with a planar surface correct?
http://www.youtube.com/watch?v=1CMDS4-PKKQ
Using the formula:
Z = x² + xy + y²
@z/@x = 2x +y
x=0.2, y=0.3
2(.2) + .3 = .7
What I know this means: At an x value of 0.2 and a y constant of 0.3, the slope of the tangent line will be 0.7.
At the end of the Khan video though, he stated:
"So everytime X increases, 1, Z will increase by 0.7"
Did I miss something or is this a mistake? What is in the video is a curve that is constantly changing so the slope will always be different. The only way to say that every increase in X will result in 0.7 is if we are dealing with a planar surface correct?