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Learn how to find the derivative of a function when you can't solve for y in terms of x. See examples, formulas, chain rule, product rule and inverse functions.
29 gru 2020 · Implicit differentiation is a technique based on the Chain Rule that is used to find a derivative when the relationship between the variables is given implicitly rather than explicitly (solved for one variable in terms of the other).
17 sie 2024 · We use implicit differentiation to find derivatives of implicitly defined functions (functions defined by equations). By using implicit differentiation, we can find the equation of a tangent line to the graph of a curve.
28 wrz 2023 · We use implicit differentiation to differentiate an implicitly defined function. We differentiate both sides of the equation with respect to \(x\text{,}\) treating \(y\) as a function of \(x\) by applying the chain rule.
Find the derivative of a complicated function by using implicit differentiation. Use implicit differentiation to determine the equation of a tangent line.
16 lis 2022 · In this section we will discuss implicit differentiation. Not every function can be explicitly written in terms of the independent variable, e.g. y = f(x) and yet we will still need to know what f'(x) is. Implicit differentiation will allow us to find the derivative in these cases.
Implicit Differentiation - Exponential and Logarithmic Functions. Implicit differentiation is an approach to taking derivatives that uses the chain rule to avoid solving explicitly for one of the variables.