How to use the chain rule with a square root

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👉 Learn how to find the derivative of a function using the chain rule. The derivative of a function, y = f(x), is the measure of the rate of change of the function, y, with respect to the variable x. The process of finding the derivative of a function is called differentiation. There are various methods of finding the derivative of a function including, direct differentiation, product rule, quotient rule, chain rule (function of a function), etc.
When given a function of the form y = f(g(x)), then the derivative of the function is given by y' = f'(g(x))g'(x). This method of differentiation is called the chain rule. The chain rule is used to find the derivative of a function that is a function of another function.

Organized Videos:
✅The Derivative
✅Find the First and Second Derivatives of a Function
✅Find the Differentiability of a Function
✅Find the Derivative of Absolute Value Function
✅Find the Derivative of Exponential and Logarithmic Functions
✅Find the Derivative using Implicit Differentiation
✅Find the Derivative of Inverse Functions
✅Find the Point Where the Tagent Line is Horizontal
✅Write the Equation of the Tangent Line
✅Find the Derivative from a Table
✅Chain Rule Differentiation
✅Product Rule Derivatives
✅Find the Derivative of Trigonometric Functions
✅Find the Derivative using the Power Rule
✅Quotient Rule Derivatives
✅Solve Related Rates Problems

Connect with me:

#derivatives #brianmclogan
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justinabissett
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Dude is an amazing instructor but always seems irritated with his classes.

gB-gmvy
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You're a lifesaver man. I've been watching your videos for a few months, and you NEVER disappoint. Thank you so much for this straight explanation. You rock.

krishnacolindres
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Would not have come this far in my college without you!

coltclouse
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I absolutely love your videos. The only problem high school LOL they definitely don’t walk you through things very well so I appreciate you going through this in a tone that insinuates there’s room for error and that the math is simple. Idk how to explain it, but professors just don’t do that

daniellehoward
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josephtubo
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I love you, virtual teacher of the year.

gardyn
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I had to go through this 3* to understand but Hy is helpful. Thank you.

nthabisengmoleele
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Jigawly
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ryanlyle
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karmenrussell
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thank you for this! i have been stuck on a single item in my untimed math test which is about this. finally got to solve it, i owe it to you sir

btxtboys
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Can someone explain broader why the f(x)=x raise to 1/2 in the end part?

SCNE_Forever
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Dear students out there:
!!!!for your f(x) and f prime (x) don't use an x when U substituting. I guarantee you will forget it doesn't remain as an x and has to be substituted.

quintondeltac
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you digg? Great work! Easy to comprehend.

Dhunt
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i don't know why everyone's praising him. He just solved the problem with no explanation.

chaldean
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Thanks this actually really helped me better understand this

kngworld
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Wow easiest to understand. Please keep up your good work. You're literally fighting against ignorance 😂😂😭😭

leandrocrispino
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is the f'(x) for this kind of problems always sqrtx?

mikeanello
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Why is the outside function x to the 1/2?

onyx