Implicit Differentiation
www.cliffsnotes.com › implicit-differentiationThe technique of implicit differentiation allows you to find the derivative of y with respect to x without having to solve the given equation for y. The chain rule must be used whenever the function y is being differentiated because of our assumption that y may be expressed as a function of x . Example 1: Find if x 2 y 3 − xy = 10.
Calculus I - Implicit Differentiation
tutorial.math.lamar.edu › Classes › CalcIMay 30, 2018 · In implicit differentiation this means that every time we are differentiating a term with y y in it the inside function is the y y and we will need to add a y′ y ′ onto the term since that will be the derivative of the inside function. Let’s see a couple of examples. Example 5 Find y′ y ′ for each of the following.
Implicit Differentiation - Calculus | Socratic
socratic.org › implicit-differentiationWhat is implicit differentiation? Implicit differentiation is a way of differentiating when you have a function in terms of both x and y. For example: x2 +y2 = 16 This is the formula for a circle with a centre at (0,0) and a radius of 4 So using normal differentiation rules x2 and 16 are differentiable if we are differentiating with respect to x