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Exercise

$\frac{d}{dx}\left(\sin\left(x\right)^2\cos\left(x\right)^4\right)$

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Final answer to the exercise

$2\sin\left(x\right)\cos\left(x\right)^{5}-4\sin\left(x\right)^{3}\cos\left(x\right)^{3}$

Try other ways to solve this exercise

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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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$\frac{d}{dx}\left(\sqrt{\frac{x\left(x+2\right)}{\left(2x+1\right)\left(5x+3\right)}}\right)$

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$\frac{d}{dx}\left(x^3e^x\right)$

$\frac{d}{dx}\left(\sqrt{\sin\left(x\right)}\right)$

Main Topic: Product Rule of differentiation

The product rule is a formula used to find the derivatives of products of two or more functions. It may be stated as $(f\cdot g)'=f'\cdot g+f\cdot g'$

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