Derivative of Sine and Cosine Functions | Calculus
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- čas přidán 7. 09. 2024
- This calculus video tutorial explains how to find the derivative of sine and cosine functions. it explains why the derivative of sine is cosine using the limit definition of the derivative.
Derivatives - Fast Review: • Calculus 1 - Derivatives
Limit Definition of the Derivative:
• Definition of the Deri...
Derivatives - Alternate Limit Definition:
• Alternate Form of The ...
Derivatives - The Constant Rule:
• The Constant Rule For ...
Derivatives - The Power Rule:
• The Power Rule For Der...
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Derivatives - Constant Multiple Rule:
• The Constant Multiple ...
Derivatives - Polynomial Functions:
• Derivatives of Polynom...
Derivatives - Sine and Cosine:
• Derivative of Sine and...
Derivatives - Trigonometric Functions:
• Derivatives of Trigono...
Derivatives - Limits:
• Limits and Derivatives
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Equation of the Tangent Line:
• How To Find The Equati...
Derivatives - Horizontal Tangent Line:
• How to Find The Point ...
The Equation of The Normal Line:
• How To Find The Equati...
The Equation of The Secant Line:
• How To Find The Equati...
Average and Instantaneous Velocity:
• Average Velocity and I...
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Final Exams and Video Playlists:
www.video-tuto...
Full-Length Videos and Worksheets:
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Derivatives - Formula Sheet:
bit.ly/4dThzf1
Derivatives - Formula Sheet: bit.ly/4dThzf1
Final Exams and Video Playlists: www.video-tutor.net/
Next Video: czcams.com/video/PEqCa0U77mc/video.html
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u must be dumb if u are still watching derivative questions at like 22 years old and i learned about this when i was 17 years old
i learned this in high school while u learned this in graduate school, u are slooow
haha derp stfu, everyone struggles in a different area. As long as the person understands the concept, thats all that matters regardless of age. don't think you're superior just cause u learned it at 17. Im learning it at 16 so be humble. Everyone learns at a different pace dipshit
@@gartyqam I mean, I learnt it at 14 sooooo, also stfu you are not more intelligent than other people just by understanding one thing in mathematics at a young age
@@Pikachu-xg7st no u stfu, a few months gap is nothing for you to have jumped to that conclusion also difference between 17 and 22 shows a lack of intelligence and 16 and 17 have no difference thanks noob for making urself look foolish
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MR. Organic Chemistry Tutor, this is an awesome topic on Finding the derivatives of two well-known Transcendental functions in all of Mathematics, Physics and Engineering.
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Now, let's all prove that the dervative of cos(x) is - sin(x) in the same way.
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The initial focus here is not on deriving the derivative. The crux of the matter is the two limits. That these must be in radians and not degrees is neglected, as usual.
I explain the 2 relevant limits more 'properly' in my video: czcams.com/video/vhXG3GP2_HE/video.html
Checked it after reading your comment and I did in fact very quickly mention radians!
I am confused though... I tried proving the trigonometric functions listed and i was getting neither 1 or 0. Please explain. Maybe i am missing something
Is (sin(a+b)=sin a cos b + cos a sin b) constant rule??
9:05 why must it be in radial mode
3:36 is a real flip 😂
How do i answer a question that asks me to find the 45 derivative of cosx
I know I'm waaaay late, but I believe the answer to that question would be "45 - sin x"
Perhaps its -45sinx. 😅
it was all good until you tried to prove the derivative of sinx is indeed equal to consinex. I don't think that's something very important to know early on when learning these things and i also feel like i would've benefited from more harder examples instead of that.
If you are aiming for high grades only then I don't think it's important too, but if you want to understand calculus better then I think it's very important.
the first page of this section in my text book starts by providing the derivative of sinx is cos
2:41 if I put -3.14 is true ?
pls sana makapasa ako bukas
G 214
What if it’s cos4x ?
You need to use chain rule. I believe the answer is (-sin4x)(4)= -4sin4x
Correct me if I'm wrong, it's been a year since my last calculus class
I find OCT videos helpful for showing the HOW to do problems but re-viewed this video and noticed that he does the limits the 'handwavy' way.
If you're interested in the WHY of the 2 limits they're explained in my video here: czcams.com/video/vhXG3GP2_HE/video.html
Dude, you did your proof backward.
The limit as "h" approaches zero of (1-cos(h))/h DOES NOT equal zero, it's supposed to be the limit of (cos(h)-1)/h that equals zero.
It may not look like a big difference to most people, and because it does equal 0, you don't notice the difference whether you're factoring out a positive or negative sine, but it will make a huge difference in other problems. Please post a correction!
ok karen
@@gartyqam Pukitaki is right though
Pukitaki is wrong, as he factored out a -1..
Whats the der of f(x) = x +xcosx
wiwi kawaii 1+cosx - x sinx
@@colinp8918 tnx😻❤
@@colinp8918 can u show me the method plz??
@@wiwikawaii473 He used the product rule for the second term of the function, so the derivative looks like this: 1 + x*(-sinx) + cosx*1. Then after simplifying, that would equal the answer Colin gave you of 1 + cosx -xsinx. Hope that helps!
how do you differentiate z=4cos(t^t)? please let me know, I have no idea how to deal with the function in the parenthesis, t^t
Did you ever figure it out?
I don't think they did.
Assuming you are looking for dz/dt, or the derivative of z with respect to t, you have a pretty complex chain rule derivative here. The first part would be -4sin(t^t), and then you would multiply this by the derivative of t^t (the inside function), which is tricky. It would be the same as taking the derivative of x^x, which I have made a video for that you can check out: czcams.com/video/O99L3G08ubQ/video.html
Hope that helps!
Wow!
You don't discuss about its graphically
Omg men. the last part is like what the hell happened?
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