Curve Sketching with Derivatives - Concept

Concept Concept (1)

Sketching a curve from knowledge of the signs of the first and second derivatives is a useful way to find the approximate shape of a function's graph. When curve sketching making a sign chart of the derivatives is an easy way to spot possible inflection points and to find relative maxima and minima, which are both key in sketching the path of a function.

Sample Sample Problems (4)

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Curve Sketching with Derivatives - Problem 1
Problem 1
How to graph a curve of a polynomial using sign charts for the first and second derivatives
Curve Sketching with Derivatives - Problem 2
Problem 2
How to graph a curve of a product of functions, x(5-x)^(2/3), using sign charts for the first and second derivatives.
Curve Sketching with Derivatives - Problem 3
Problem 3
How to use sign charts of the first and second derivatives to sketch a graph of a product of functions, 9xe^(-x/3)
Curve Sketching with Derivatives - Problem 4
Problem 4
How to graph an asymptotic curve using sign charts for the first and second derivatives.