pls bring homework board back up ::))
Okay, I got pretty much a test tomorrow (well, exam), and I usually ask the experts at RPGC how a question should be solved so I know what to do for the test/exam/quiz/whatever.
My first calculus thread was about geometric series/sequences.
My second calculus thread was about limits, and continuity.
Now my third is about derivatives and tangents.
Last week I was absent for pretty much 4/5 of my calculus classes due to illness, so I missed out; and the teacher is a stickler for not giving out missed notes, 'cause it’s a waste of her time. I understand derivatives and such, but quotient/product rules, chain rules, First Principles, and pretty much tangents on the whole I don’t quite get.
So here’s a little bit of questions. I’ve answered questions 1, 2, and 6, and nine. Those deal with derivatives and product/quotient rules, but the rest is on tangents. This is a review paper.

Find all points where the tangent at (1,10) to the curse y=x^3 + x^2  8x + 2 meets the curve. The tangent meets at many points.

The curves with equations y= 4/x + 2, and y= ax^2 + bx + c have the following properties.
Common point; x=2
Common tangent; x=2
Both curves pass through (1,6)
Find values of a, b, c.

Find area of a triangle formed by the three points where the slopes of the tangent lines to the curve y=x^4 = 2x^2 + 4 at zero at those points.

Differenciate implicitely.
a) y^2 = x+y / xy
b) [x^3 / y^3] + [y^3 / x^3] = 1 
Determine the slop of the tangent line to the curve of x^3 + 2xy  y^3 = 0, at 1,1.

this is too long to write