Differentiating (1+sqrt(x))^8 by the chain rule. Determining individual components of the chain rule.

# Monthly Archives: April 2010

## Problem 2-10: Diffrentiating

Diffrentiating f(x)= (1-2x^2)/(1+x+x^2) and f(x)= (1-2x^2)(1+x+x^2)

## Problem 2-9: Differentiating Polynomial and Rational Functions

Differentiating f(x)= 1+ 2x, f(x)= 1 – 2x + 2x^2, f(x)= 1- x^2 +1/x and f(x)= 1 – x +1/(1-x)

## Problem 2-8: Integration

Integrating e^x/(1+e^x)

## Problem 2-7: Evaluatin Definite Integrals

Evaluating definite integrals x^2, sin(x), 2x^3+x-1 and |x|

## Problem 2-6: Odd and Even Functions

Determining odd and even functions for sin(x), cos(x), sin(x)cos(x), x*sin(x), x^2 and sin(x)+cos(x)

## Problem 2-5: Evaluating Indeterminate Form

Evaluating limit of (\sqrt{x+2}-2)/(x-2) as x approaches 2

## Problem 2-4: Computing Limits of a Rational Function

Computing Limits of (x^2+2x-3)/(x+3) as x approaches -3 and 3. The case for x ->-3 is an indeterminated form and algebraic elimination is used to solve it.

## Problem 2-3: Solving an Inequality

Solving |2-3x|<3. The graph is also plotted to confirm the solution.

## Problem 2-2: Evaluating Derivative of Functions and the Tangent Lines

Evaluating Derivative of x^2, x^3+x+1 and 1/x and the Tangent Lines at x=-1