### 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 Problems (4)

Need help with "Curve Sketching with Derivatives" problems? Watch expert teachers solve similar problems to develop your skills.

###### Problem 1
How to graph a curve of a polynomial using sign charts for the first and second derivatives
###### 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.
###### 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)
###### Problem 4
How to graph an asymptotic curve using sign charts for the first and second derivatives.