The Constant Multiple Rule For Derivatives

This calculus video tutorial provides a basic introduction of the constant multiple rule for derivatives. Examples include rational functions, radical functions, square roots, and monomials.
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
_______________________________________
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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www.video-tutor.net/
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Professor Organic Chemistry Tutor, thank you for a great explanation of The Constant Multiple Rule for Derivatives in Calculus.

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[@user-oq3qv7no8m]

Thanks for this amazing video! I was so confused with derivatives before this but now I actually understand it now :D

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[@Chrisymcmb]

This was literally tripping me up all day. My tutor mentioned the derivative rule and I looked it up. This video made that idea concrete, thanks Juan!

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perfect explanations

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[@selekanthabiseng1167]

How to slove the following, y=x^2 multiply by e to the power ax+b
Y=√x multiply by 10 to the power √x. Thank you

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[@MisterBinx]

I forgot to do this doing to derivative of 2ln(x)^3 and in messed up everything when I used the chain rule.

[@iridium8562]

We’re simply using the product rule in here, since c’ would equal 0, thus the second term will be zero

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[@kamenzhelyazkov8575]

13:41 -> when the professor gets you up front to solve the problem and your crush is attending the lecture

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[@avrilbanque7785]

Helloooo? I just wanted to ask where did you get the 5 in this problem? 3:36

[@Kittykatt96]

Go back to the beginning he uses both the constant multiple rule and the power rule. If you still don’t get it let me know.

[@horizontalnoodlelmao4286]

I love your videos. Even outside the fact I need them, you're a great teacher

[@zubair1424]

Can some explain 13:32 and on. How is he simplifying by multiplying root 7 x^4 by root 7 x^3... Shouldn't it be root 7 by x^4?

[@Kittykatt96]

He’s trying to get rid of the radical in the denominator or like he said “if you are told to rationalize any radicals in the denominator.” He is trying to leave an x so in order to do that he needs to get 7 root of x^7 and to do that he needs to multiply the bottom by 7 root x^3 but remember what you do to the bottom you do to the top. So now you have 7 root x^4 times 7 root x^3 in the denominator and when you multiply exponents with the same base you are suppose to add the exponents. That leave us with 7 root x^7. The 7s cancel each-other out leaving us with x so that would leave the denominator as 7x times x which gives us 7x^2. No more radicals in the denominator. Now for the numerator you have to just write it as -10 times 7 root x^3. Did that make sense?

[@learnmathematics7416]

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[@saladuck]

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[@aietoledo5535]

what if the given was f(x) = 5x^1/5?

[@JKMath]

The derivative of that function would be 5 * 1/5 * x^(1/5 - 1), which would reduce to x^(-4/5). You would then want to move that variable to the denominator to change the negative exponent to be positive. So the final answer would be 1/x^(4/5). Hope this helps!

[@mohamedabdirahmanabdillahi5178]

Time safety

[@salvyboy24]

why didnt you show logs and ln in the video

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