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- Find the derivative using the definition
- Find the derivative using the product rule
- Find the derivative using the quotient rule
- Find the derivative using logarithmic differentiation
- Find the derivative
- Integrate by partial fractions
- Product of Binomials with Common Term
- FOIL Method
- Integrate by substitution
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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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$\frac{d}{dx}\left(y\cos\left(\frac{1}{x}\right)\right)+\frac{d}{dx}\left(-e^{\left(\left(x-y\right)^2\right)}\right)+\frac{d}{dx}\left(-\left(y-x\right)^2\right)$
Learn how to solve problems step by step online. Find the derivative d/dx(ycos(1/x)-e^(x-y)^2-(y-x)^2) using the sum rule. 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}. Any expression to the power of 1 is equal to that same expression.
