Choices

1) The Derivative of the Inverse of a Function says that for any point (a,b) on an invertible function, the derivative of the function's inverse evaluated at point b is equal to the reciprocal of the derivative of the function evaluated at point a.
2)



3) Volume is an invertible function
4)



5)


a)(4/3)*3.141592654x^3
b)12.566375(x-1)+4.1887902
c)(x/(4*3.141592654/3))^(1/3)
d).09403455(x-4.1887902)+1






6) My point (1, 4.1887902)
slope of tangent line at f(1)=12.566375
slope of tangent line at f'(2.3562)= 0.09403455
12.566375*0.09403455=1

7)I chose to come to class on Virtual Wednesday because I feel as though I learn better in a classroom environment. It provides structure and an atmosphere in which it is easier for me to focus. The resources of Bru and my classmates are of great help when I don't completely understand a concept. Learning from Bru and my classmates in a classroom as opposed to an online classroom is a much more reliable method of learning for me and is a more concrete way to learn the material. I have the opportunity to ask questions and am provided with a structured and complete lesson.