For more FREE math videos, visit PatrickJMT.com !! Derivatives of Exponential Functions – I give the basic formulas and do a few examples involving derivatives of exponential functions.
Video Rating: 4 / 5
Learn more: www.khanacademy.org Introduction to partial derivatives.
Video Rating: 4 / 5
Britannia,
Patrick already indicated the rule for e raise to the function. Think of it as as a number raised to a function f(x) which is x^2. Here, the derivative will be
f’ = (e^x^2) (2x)
Hope this helps.
I think this should be the way of doing it
Gustavo, for the rules Patrick is right but for this question u cant use these rules. The base is variable, not a number. Patrick clrearly indicated for these kind of questions that the base is a number not a variable. For your question with variable as base, you have to take natural log on both sides of the equation and use implicit differentiation
why is f(x)= e^5 –> 0?
Do you have any videos that would go a little more into the harder derivatives? for example an exponential raised to an exponential that is raised to a number? such as e^x^2?
patrickjmt, can you please reply with your age. my friend doesn’t believe you’re older than 20.
u like awesome men
Gustavo for this question u cant use these rules. The base is variable, not a number. You have to take natural log on both sides of the equation and use implicit differentiation.
Praise be to you kind sir,
I might just pass my calculus class thanks to you!
Have Cal final exam coming next week and come to watch your life saving videos,
Love You and your videos! (P.S : I’m not gay! )
Great job! Thank you! I made my first B all semester after watching your videos! I had been making D’s on every test so it was a big change!
I was so lost in Calc the past semester. I’m glad I stumbled upon this amazing channel!
Thank you for sharing you’re knowledge. I now have new determination to raise my Calc. grade within the month.
I LOVE YOU homg.
LOVE YOU
What’s your view on the best way to learn math? Attempt ALOT of problems i.e. ALOT of practice? Or is there more to it than just practice?
sorry. look using those rules the answer will be x^sin(x).ln(x).cos(x). But in my book the answer is:
x^sin(cos(x).ln(x) + sin(x)/x). Can you help me?
it’s x^sin(x).
i was wondering if you have a video of graphing the derivatives of exponential functions i’ve looked around but haven’t found any yet
thank you so much..
sen(x)? Is that a new trig function?
Very nice video. At first I was going to say you were wrong, but then you moved away the covered part, which explained the full formula. Great video and explanation.
why don’t you have to multiply by , lncost ?
for the last one because isn’t cos(….) the same as a^x ?
uh, these rules are 100% correct. check yo’ self
Thx, helped me visualise it
Thank you so much. it helps me alot
Great job. my favorite channel on youtube >>Khan Aca
Super
This was awesome!!! Thank you.
You said that you would post the link to that java graphing app. Can you please do that?
College professors should be evaluated in comparison to khan and fired if they arent as good lol
so helpful :O
11:11 in the 111 video, just go check
Sal, are you using Wolfram Mathematica, now?
FUCKING KICK ASS.
qhat kind of surface is that, it is NOT a mesh, how do you call it
Its more like “everytime x increases by 1 at that particular point where the gradient is 0.7, i.e. point (0.2,0.3), z increases by 0.7 since the gradient is 0.7″ but if the point were different, as you said for example; “everytime x increases by 1 at the point (2.5,0.3), z increases by the different slope, or gradient, that you got”
“Everytime x increases 1, Z increases by 0.7″
That’s the only part I don’t get. You plugged (0.2,0.3) into the formula and got 0.7 which is the slope of the tangent line at (0.2,0.3) which I agree with. However, I don’t get how the conclusion that every increase in the x of one unit will result in a z increase of 0.7. If I plug (2.5, 0.3) I get of course a different slope. Can you or someone please clarify what was said?
I don’t find a video on libsitch fonction
nice, you taught me something that my book needs 4 pages to explain
@ 4:41 well you barely threw the ring in the lava and your computer and voice only started melting around 11:11 pay close attention! lol
Hour of a useless uni lecture on partial derivatives… still clueless, less than 10 min with Sal… sorted.
Your i x j x k hand looks like a mutant cactus lol.
wheres the link…
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