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How should I solve this problem?
- Solve by implicit differentiation
- Find the derivative using the definition
- Exact Differential Equation
- Linear Differential Equation
- Separable Differential Equation
- Homogeneous Differential Equation
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
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Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable
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$\frac{d}{dx}\left(-x^2+y^2\right)=\frac{d}{dx}\left(\left(2x^2+2y^{\left(2-x\right)}\right)^2\right)$
Learn how to solve problems step by step online. Find the implicit derivative of -x^2+y^2=(2x^2+2y^(2-x))^2. Apply implicit differentiation by taking the derivative of both sides of the equation with respect to the differentiation variable. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. Any expression to the power of 1 is equal to that same expression. The derivative of a sum of two or more functions is the sum of the derivatives of each function.