I have a 4 part problem that I am unsure what is being asked. I have shown what i have worked out.
a) Find the differential of y
b) Calculate dy when x=4 and delta x = 0.01. Interpret.
c) Calculate delta y when x =4 and delta x = 0.01. Interpret.
d) Illustrate dy and delta y. Interpret.
So what are they asking for "interpret" and "illustrate"?
Thanks,
Rod
You know that you can think of the derivative as the slope of the tangent line, don't you? If you start from and x increases by .01 then the linear approximation to y(x) says that y will increase by 0.0025.
This is saying that if, starting at (4, 2), x increases by .01, then y actually changes by 0.002498.c) Calculate delta y when x =4 and delta x = 0.01. Interpret.
Pretty close to the linear approximation, before, 0.0025 isn't it?
Draw a graph! Draw the graph of and its tangent line at x= 4. Draw a horizontal line from (4, 2) to (4.01, 2). is the distance from (4.01, 2) up to the graph of and dy is the distance from (4.01, 2) to the tangent line.d) Illustrate dy and delta y. Interpret.
So what are they asking for "interpret" and "illustrate"?
Thanks,
Rod