Implicit differentiation using the chain and product rule with cosine

👉 Learn how to find the derivative of an implicit function. 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.
A function is said to be implicit if the dependent variable is not explicitly defined in terms of the dependent variable. To differentiate a function in terms of another variable not used in the function, we differentiate both sides of the equality sign and then make use of the sum, product, and quotient rules of differentiation as the case may be to complete the differentiation.

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

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[techifers]

Why are you looking at the paper? Don't you know it?

[stix]

It cuts off at the final question, why does the 1x receive a I have been looking everywhere for this answer

[mejia]

has helped me..I got stuck on a problem similar to this. I knew I had to apply the chain rule, but I wasn't sure when.

[mikekowalski]

Please help doing this, sir, it's important for the test value, look for tangent equations, straight line equations, and normal line equations of the implicit function y + cos (xy ^ 2) + 3x ^ 2 = 4 at point (1, 0). I've tried to work but it's deadlocked

[akshayrangaswami]

quick question: for question sin(xy)=x, when finding dy/dx, why can't we take inverse sin and set that equal to xy? the answer in the book i am using is sec(xy) -y/x, which makes sense when using chain rule and implicit, but why not inverse?

[hasinimam]

Thanks, but might be hard to follow your first time learning.

[kristywilday]

It cut off before it finished, so I did not see the final answer, and it also blocked the problem when the other videos came up. Not sure if that is on my end or what? So, would the final answer be -y/x? Because we have to solve for dy/dx??

[dragborn]

how do you solve for dy/dx in this instance?

[mrnotfhacof]

dont know why this has so many dislikes. I mean yeah its annoying that the guy keeps looking at his paper like he doesnt know what he's doing, and the volume was shit, but not that bad

[jaiso]

your lookng at that paper too many time as if you are not sure. anyway the video was helpful in making sure my answer was right. thanks.