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Using implicit differentiation for good: Inverse functions. Warm up: Calculate Dy DX if y 1. E XY Dy d Take DX of both sides to find e y Dy DX x DX + y. So y any father Dy y (e DX dx2. Cos(y) x +
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Using implicit differentiation allows us to find the derivative of a function that is not explicitly written in terms of the independent variable.
Students studying calculus or individuals working with functions that cannot be easily differentiated explicitly may use implicit differentiation.
To use implicit differentiation, differentiate both sides of the equation with respect to the variable and solve for the derivative.
The purpose of using implicit differentiation is to find the derivative of functions that are not easily differentiated explicitly.
The equations being differentiated using implicit differentiation along with the derivatives obtained.
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