Let g ( x ) = x 3 . A student graphs this function, and the graph appears to be continuous for all real number x . The student concludes that g is differentiable for all x , which is false. Identify the error, and explain why the conclusion is false. What is the correct conclusion regarding the differentiability of g
Let g ( x ) = x 3 . A student graphs this function, and the graph appears to be continuous for all real number x . The student concludes that g is differentiable for all x , which is false. Identify the error, and explain why the conclusion is false. What is the correct conclusion regarding the differentiability of g
Solution Summary: The author explains the correct conclusion regarding the differentiability of the function g(x), based on the graph.
Let
g
(
x
)
=
x
3
. A student graphs this function, and the graph appears to be continuous for all real number x. The student concludes that g is differentiable for all x, which is false. Identify the error, and explain why the conclusion is false. What is the correct conclusion regarding the differentiability of g
With integration, one of the major concepts of calculus. Differentiation is the derivative or rate of change of a function with respect to the independent variable.
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (4th Edition)
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.