Final answer to the problem
$y^{\prime}=\frac{6-e^xy}{e^x}$
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- Find the derivative using the definition
- Exact Differential Equation
- Linear Differential Equation
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1
The derivative of a sum of two or more functions is the sum of the derivatives of each function
$\frac{d}{dx}\left(e^xy\right)+\frac{d}{dx}\left(-2x\right)=4$
Learn how to solve implicit differentiation problems step by step online.
$\frac{d}{dx}\left(e^xy\right)+\frac{d}{dx}\left(-2x\right)=4$
Learn how to solve implicit differentiation problems step by step online. Find the implicit derivative d/dx(e^xy-2x)=4. The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of the linear function times a constant, is equal to the constant. The derivative of the linear function is equal to 1. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=e^x and g=y.
Final answer to the problem
$y^{\prime}=\frac{6-e^xy}{e^x}$
