math notes for test 2

# math notes for test 2 - Sec 3.5 – The Chain Rule Sec 3.6...

This preview shows pages 1–2. Sign up to view the full content.

Topics for Test #2 Math 141- Spring 2008 Definition of the derivative – review 2.2 – limit def’n on derivative Sec.2.6 Tangents, Velocities and other rates of change Sec. 2.7 – Derivative is the instantaneous rate of change Knowing the difference between instantaneous rate of change at a point and the average rate of change over an interval. Sec. 2.8 – The derivative as a function Notations for the derivative Theorem 4 p.161 about continuity and differentiability Higher-order derivatives21 Sec. 2.9 – What does the derivative say about the function? Concavity Sec. 3.1-Derivative of Polynomials and Exponential functions Power Rule Constant multiple rule Derivative of sums and differences of functions Derivative of exponential functions Sec. 3.2 – The Product and Quotient Rules p. 198 has a table summarizing 3.1 and 3.2 rules boxed in red Sec. 3.4 – Derivative of Trigonometric Functions

This preview has intentionally blurred sections. Sign up to view the full version.

View Full Document
This is the end of the preview. Sign up to access the rest of the document.

Unformatted text preview: Sec. 3.5 – The Chain Rule Sec. 3.6 – Implicit Differentiation Derivative of inverse sine function and inverse tangent function Sec. 3.7 – Derivative of Logarithmic Functions Method of logarithmic differentiation Sec. 3.8 – Linear Approximation and Differentials L ( x ) = f ( a ) + ′ f ( a )( x-a ) The linearization of f at x=a is the tangent line to the curve f(x) at x = a. It is the best straight line approximation to the curve f(x) at x=a. The closer the x-values are to a, the better the straight line approximates the function. dy =′ f ( x ) dx dy is the “differential” ; it is the change in y-values along the tangent line give a certain change in the x-values. dy approximate ∆ y ; ∆ y is the actual change in y-values along the function given a certain change in the x-values....
View Full Document

## This note was uploaded on 04/03/2008 for the course MA 141 taught by Professor Wears during the Spring '07 term at N.C. State.

### Page1 / 2

math notes for test 2 - Sec 3.5 – The Chain Rule Sec 3.6...

This preview shows document pages 1 - 2. Sign up to view the full document.

View Full Document
Ask a homework question - tutors are online