Fall+Week+08

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Monday, 10/3
Today, we learned how to find the derivatives of exponential and logarithmic functions. For an exponential function, if f(x)=a^x, then f '(x)=ln(a) times a^x. For logarithmic functions, if f(x)=ln(x), then f '(x)=1/x. If the base is not a natural log (or e), then you can simply use the change of base theorem to convert the base to a natural log base. The Change of Base Theorem states that log b of a = log c of a / log c of b.







**Tuesday, 10/4**
Today, we did several practice problems involving all of the derivative rules that we have learned. An important pitfall we discussed is the fact that: tan inverse of x is not the same as 1/(tanx).









Wednesday 10/5
IF you want more problems, here they are!!!!

Thursday, 10/6
We took a test over derivatives and finding equations of tangent lines at specific points and overall.

Friday, 10/7
We explored derivatives as it relates to particle motion, like in physics.