AP®︎ Calculus AB (2017 edition)
- Derivative of ln(x)
- Derivative of logₐx (for any positive base a≠1)
- Worked example: Derivative of log₄(x²+x) using the chain rule
- Differentiate logarithmic functions
- Differentiating logarithmic functions review
- Common derivatives review
- Proof: the derivative of ln(x) is 1/x
- Worked example: Derivative of ln(√x) using the chain rule
- Derivative of sin(ln(x²))
- Differentiating logarithmic functions using log properties
Review the differentiation rules for all the common function types.
Want to learn more about differentiating polynomials? Check out this video.
Want to learn more about differentiating radicals? Check out this video.
Want to learn more about differentiating exponential functions? Check out this video.
Want to learn more about differentiating logarithmic functions? Check out this video.
Want to join the conversation?
- Is there any review of all the derivative in only one test(1 vote)
- PearsonReview comes out with a book every year on the subjects of the AP Test. Within the book there are a few comprehensive practice testz which I found helpful. when I was studying. You can find a copy at you local library or buy one on amazon.(8 votes)
- whats the "arc" in arctan arccos arcsine is it by accident ?(0 votes)
- The "arc" part just means that it is the inverse of that trig identity. Arctan=tan^(-1)(x) which is the inverse of tan, arccos= cos^(-1)(x) which is the inverse of cosine, and arcsin=sin^(-1)(x) which is the inverse of sine.(5 votes)