Calculus Limits. On the curve y=x^3 , point P has the coordinates (2,8). What is the slope of the curve at point P?

Slope of a Curve at a Point - Calculus | Socraticsocratic.org › calculus › derivatives › slope-of-a-curve-...

Slope of a curve y=x2−3 at the point where x=1? ... How do you find the slope of the tangent line using the formal definition of a limit? ... line to the graph of the equation at the point with x-coordinate for y=√x at p(4,2)? ... How do you find the slope of the secant lines of f(x)=6.1x2−9.1x through the points: x=8 and x=16?

Step-by-step explanation:

geometry: triangles

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call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

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