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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 $f=x^x$ and $g=\left(5x-2\right)^4\left(3x^2+5\right)^4$
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$\frac{d}{dx}\left(x^x\right)\left(5x-2\right)^4\left(3x^2+5\right)^4+x^x\frac{d}{dx}\left(\left(5x-2\right)^4\left(3x^2+5\right)^4\right)$
Learn how to solve problems step by step online. Find the derivative of x^x(5x-2)^4(3x^2+5)^4. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=x^x and g=\left(5x-2\right)^4\left(3x^2+5\right)^4. Apply the product rule for differentiation: (f\cdot g)'=f'\cdot g+f\cdot g', where f=\left(5x-2\right)^4 and g=\left(3x^2+5\right)^4. 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}.
