Wrath of Math | Derivatives of log Functions with Any Base (and Chain Rule) | Calculus 1 Exercises @WrathofMath | Uploaded 1 month ago | Updated 9 hours ago
We differentiate several composite log functions with different bases. This requires the chain rule and requires us to know how to differentiate log functions in general as well as the derivate of ln, the natural log. Recall the derivative of log_a(x) is 1/(x*lna). #calculus1 #apcalculus
Derivative of log x with any Base Explained: youtu.be/kOmNjoldiUs
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0:00 Intro
0:47 Derivative of log_5(x)
1:06 Derivative of log_3(x^2+1)
1:44 Derivative of ln(x^2+1)
2:24 Derivative of log_10(2+sinx)
2:56 Derivative of sqrt(log2(x))
4:48 Conclusion
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We differentiate several composite log functions with different bases. This requires the chain rule and requires us to know how to differentiate log functions in general as well as the derivate of ln, the natural log. Recall the derivative of log_a(x) is 1/(x*lna). #calculus1 #apcalculus
Derivative of log x with any Base Explained: youtu.be/kOmNjoldiUs
Join Wrath of Math to get exclusive videos, music, and more:
youtube.com/channel/UCyEKvaxi8mt9FMc62MHcliw/join
Calculus 1 Exercises playlist: youtube.com/playlist?list=PLztBpqftvzxUEqGGgvL3EuIQUNcAdmVhx
Calculus 1 playlist: youtube.com/playlist?list=PLztBpqftvzxWVDpl8oaz_Co6CW50KtGJy
0:00 Intro
0:47 Derivative of log_5(x)
1:06 Derivative of log_3(x^2+1)
1:44 Derivative of ln(x^2+1)
2:24 Derivative of log_10(2+sinx)
2:56 Derivative of sqrt(log2(x))
4:48 Conclusion
◉Textbooks I Like◉
Graph Theory: amzn.to/3JHQtZj
Real Analysis: amzn.to/3CMdgjI
Abstract Algebra: amzn.to/3IjoZaO
Linear Algebra: amzn.to/43xAWEz
Calculus: amzn.to/3PieD1M
Proofs and Set Theory: amzn.to/367VBXP (available for free online)
Statistics: amzn.to/3tsaEER
Discrete Math: amzn.to/3qfhoUn
Number Theory: amzn.to/3JqpOQd
★DONATE★
◆ Support Wrath of Math on Patreon for early access to new videos and other exclusive benefits: patreon.com/join/wrathofmathlessons
◆ Donate on PayPal: paypal.me/wrathofmath
Thanks to Loke Tan, Raül Beienheimer, Matt Venia, Micheline, Doug Walker, Odd Hultberg, Marc, Shlome Ashkenazi, Barbora Sharrock, Mohamad Nossier, Rolf Waefler, Shadow Master, and James Mead for their generous support on Patreon!
Outro music is mine. You cannot find it anywhere, for now.
Follow Wrath of Math on...
● Instagram: instagram.com/wrathofmathedu
● Facebook: facebook.com/WrathofMath
● Twitter: twitter.com/wrathofmathedu
My Math Rap channel: youtube.com/channel/UCQ2UBhg5nwWCL2aPC7_IpDQ/featured
