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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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Apply the product rule for differentiation: $(f\cdot g)'=f'\cdot g+f\cdot g'$, where $f=e^x$ and $g=x^2-2x+2$
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$\frac{d}{dx}\left(e^x\right)\left(x^2-2x+2\right)+e^x\frac{d}{dx}\left(x^2-2x+2\right)$
Learn how to solve problems step by step online. Find the derivative of e^x(x^2-2x+2). Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=e^x and g=x^2-2x+2. Applying the derivative of the exponential function. 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.