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- Find the derivative using the definition
- Exact Differential Equation
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- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
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The derivative of a sum of two or more functions is the sum of the derivatives of each function
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$\frac{d}{dx}\left(-x^2\right)+\frac{d}{dx}\left(\ln\left(1+xy^2\right)\right)+\frac{d}{dx}\left(\sqrt{x^2+y}\right)=y^{5x^3}$
Learn how to solve problems step by step online. Find the implicit derivative d/dx(-x^2+ln(1+xy^2)(x^2+y)^(1/2))=y^(5x^3). The derivative of a sum of two or more functions is the sum of the derivatives of each function. The derivative of a function multiplied by a constant is equal to the constant times the derivative of the function. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}. The power rule for differentiation states that if n is a real number and f(x) = x^n, then f'(x) = nx^{n-1}.