Derivatives of Logarithmic and Exponential Functions

Let's learn how to differentiate just a few more special functions, those being logarithmic functions and exponential functions. These are a little funky, but there are some simple rules we can memorize!

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[danpower]

4:14 basically we also have to apply the chain rule on 2^x as well, but x'=1 so in case of f(x) =2^x it would be f'(x)=ln2*2^x*1 which could be left as ln2*2^x since 1 is the neutral element in terms of multiplication. It's not a big deal, but I guess it should be mentioned for people who may ask why we wouldn't (seemingly) apply the chain rule on 2^x.

[garretthilbig]

As someone who just entered AP Calculus, these videos have basically carried me to victory, you're a lifesaver Dave!

[jaybhushan]

In India we celebrate "GURU Purnima" in which we pay respect to all the spiritual and academic gurus.
Parents are the 1st gurus &
Teachers and professors are 2nd.
Professor Dave you among the best teachers I ever learnt from. I wish all the happiness in the world to you.

[ivanljujic]

These videos are sooo helpful! Just what I needed to refresh my calculus knowledge to prep for further education. Thanks, professor Dave :)

[srirampatnaik]

Wonderful tutorials! I couldn't even learn beyond the power rule in my book, but now im getting the hang of it!

[HAAH]

Thank you for this series of lectures. You are such a good instructor

[vm]

Superb explanation 🤗 Dave.
🌹 this one for you....

[Kiky_MedPhysicist]

Thank you sir for your dedication and for making this free! 🙏

[mikeroshandel]

I very much enjoy your videos, thanks for all the good work. Need your guidance as to how do we put this math knowledge to some practical work in a specific field such as physics or electronics, etc. I know that is out of the scope of what you do in this serious but I love to hear your thoughts as to how I can get some practical examples/experience using math in real life (beyond the textbooks). Regards

[khalifsabr]

Can you do a vid about laplace tranformation pls

[libelldrian]

7:57 For the second task the x should be outside the ln...

[askngunduz]

thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you thank you very much sirrrr

[astha_yadav]

6:40 This was seriously awesome !!
Im so thankful that people like you exist to make education and learning so easy and fun .. and that too for free.. T_T <33

[AdamTranberg]

@4:14 why do you use the chain rule? i guess its because its a composite function. but the formula doesnt tell me to derive a^x again after i derived the function the first time

[sheppardscott]

1:19 why pull the constant out? I think I'm missing something.

[cristalmyth]

I know I learned this in Physics C my senior year of high school. Its been almost a whole year since then and my brain is exploding. Can't wait to relearn it in University physics

[gabrielbinci]

Why is [ln(x^5)]' = (5x^4)/(x^5) and not 5/x ?

[eigentlichtoll]

this is premium math for premium scholars

[BestVersion-lzoi]

Can anyone explain the 3rd comprehension answer?

[ckarcher]

can the last question's answer be: (5x+10x Inx )???