ap-calculus-ab 2006 Q1

ap-calculus-ab · USA · free-response_formB Chain Rule Chain Rule with Composition of Explicit Functions

Let $f$ be the function given by $f ( x ) = \sqrt { x ^ { 4 } - 16 x ^ { 2 } }$. (a) Find the domain of $f$. (b) Describe the symmetry, if any, of the graph of $f$. (c) Find $f ^ { \prime } ( x )$. (d) Find the slope of the line normal to the graph of $f$ at $x = 5$.

: \text { integrand }

Let $f$ be the function given by $f ( x ) = \sqrt { x ^ { 4 } - 16 x ^ { 2 } }$.
(a) Find the domain of $f$.
(b) Describe the symmetry, if any, of the graph of $f$.
(c) Find $f ^ { \prime } ( x )$.
(d) Find the slope of the line normal to the graph of $f$ at $x = 5$.

Paper Questions

Q1 Q2 Q3 Q4 Q5 Q6