Derivative of inverse function given an equation

👉 Learn how to find the derivative of the inverse of a 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. Let f(x) be a function and g(x) be the inverse of f(x), then the derivative of f(x) is given by the reciprocal of the derivative of f as a function of g(x).
Mathematically, we have if y = f(x) and g(x) = f^(-1)(x), then g'(x)=1/f'(g(x)). Whether we are given an equation or we are given the values of the functions, plugging the values into the above equation gives the desired inverse.

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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[Kallum]

This video is 3 times as short as most explanation videos about this topic, and it was the only helpful one, thanks a bunch!

[amanarya]

one of the most maths star faculty.... Thanks Sir, , , Learning from India....🙏🙏🙏

[maylinegarcia]

Thank you so freaking much. I don't know why I couldn't get this for the longest time.

[pde]

Sir please solve it f(x)= x³+x, f(invers)(x)=?

[samosa]

So glad I found this video, every other tutorial was too confusing. Thanks!

[henryodhiambo]

love your videos, learning from Kenya

[eliasbecerra-orozco]

Why would you assume it was 1 instead of proving it? Still, extremely helpful video, I can’t find a single video of finding the inverse of bigger polynomials at all but this definitely helped

[rajhingar]

Same type of question was asked today in jee mains paper

[seanm]

Brian, can you switch x and y with f(x) and then do an implicit differentiation?

[tankieag]

why is 8=f(x)? please somebody elaborate.

[harshisharma]

Subscribed 👍 glad to find this vedio. Learning from India .👍