View source for From Derivative to Proportionality

{{DISPLAYTITLE:DecodingWork:From Derivative to Proportionality}}

===Description of Bottleneck===
Students have difficulties to use derivative to calculate the change of function value. They believe the derivative is a magic transformation of one formula into another, e.g. x^2 into 2*x.  They do not have an idea of "derivative=slope" and "change of function value=slope*change of argument"


Desired learning outcome: given that f(1)=2 and f'(1)=3 the students should be able to make an estimation of f(1,01) as f(1)+f'(1)*0,01=2.003

===People interested in this Bottleneck===
Inna Mikhailova
[[Category:Bottleneck]]
[[Category:Mathematics]]
[[Category:Calculus]]