**Q: A five foot ladder is leaning against the wall. If the top slides down at a rate of 5 feet per second, then how fast is the base of the ladder moving away from the wall at the instant when the top of the ladder is 3 feet above the ground.**

# Month: June 2008

## Implicit Differentiation Example

**Q: If x ^{2} +xy + y^{2} = 3, what is the equation of the tangent line to this graph when y = 1.**

Continue reading Implicit Differentiation Example

## Product rule with chain rule example

**Q: If f(x) = (-3x ^{5}+2x^{4}+5x)^{20}(ln(2x^{2}+2))^{20}, find f'(x).**

## Fractional Exponents

**Q: What does it mean when you have a fraction as an exponent?**

A: Firstly, we must be familiar with the following: X^{a/b} = ^{b}√X^{a}

When rewriting, think of a fractional exponent as a “tree”. The top number is the number of branches (how many multiples of X there are) and the bottom number is the root. Continue reading Fractional Exponents

## Derivatives and Anti-derivatives

**Q: There are so many rules when it comes to taking derivatives and anti-derivatives… how do I keep them all straight? More importantly, how do I know when to apply which rule?**

Ask me your questions and let me help!

## Questions?

College Algebra is one of the hardest classes to pass (or get the grade you desire). Many College Algebra classes have 200-300 students, which makes it hard for a student to get any quality one-on-one time. If you are struggling or have questions, please post them here so I can help!

## Zooming In

**Q: Why do I have to press “ENTER” twice when zooming in on a graph when using my TI Graphing Calculator?**

## Converting decimals to fractions

**Q: How do I convert a decimal answer into a fraction on my TI Graphing Calculator?**