Hello all blog viewers. HAPPY HALLOWEEN!! Let's scare you with some calculus. This Monday we took a quiz over u substitution the chain rule and implicit Differentiation. It went very well besides a few few simple mistakes with the product rule, which states that the derivative of (u times v) = u'v+v'u. I forgot to do one part of the rule which caused me to lose points on the quiz. On Tuesday we started to learn about Derivatives of inverse trig functions which are very simple, except they are very long so I cannot put them into this blog. The main thing to remember about inverse Trig functions is that the derivative of inverse cos= - inverse sin
And inverse cot=- inverse of tan and that inverse csc= - inverse of sec. After we learned about Derivatives of inverse Trig functions, we started to learn about the properties of the Derivatives of Exponential Functions. There are many important properties of these Derivatives but one of the more important ones in my opinion is the derivative of a^u=a^u times ln(a) times du/dx. For example if you have the function 5^(x+3) the derivative of this would be 5^(x+3)(ln(5))(1). It's not as hard as it looks! After learning this we then started the review assignment to study for the chapter test on Monday. I'm excited to take it to see how much my skills in calculus have progressed. Go math!
And inverse cot=- inverse of tan and that inverse csc= - inverse of sec. After we learned about Derivatives of inverse Trig functions, we started to learn about the properties of the Derivatives of Exponential Functions. There are many important properties of these Derivatives but one of the more important ones in my opinion is the derivative of a^u=a^u times ln(a) times du/dx. For example if you have the function 5^(x+3) the derivative of this would be 5^(x+3)(ln(5))(1). It's not as hard as it looks! After learning this we then started the review assignment to study for the chapter test on Monday. I'm excited to take it to see how much my skills in calculus have progressed. Go math!