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Exercise

$\frac{d^4y}{dx^4}\left(x^4-2x^3-4x^2-5x+2\right)$

Step-by-step Solution

1

Multiply the single term $\frac{d^4y}{dx^4}$ by each term of the polynomial $\left(x^4-2x^3-4x^2-5x+2\right)$

$x^4\frac{d^4y}{dx^4}-2x^3\left(\frac{d^4y}{dx^4}\right)-4x^2\left(\frac{d^4y}{dx^4}\right)-5x\left(\frac{d^4y}{dx^4}\right)+2\left(\frac{d^4y}{dx^4}\right)$

Final answer to the exercise

$x^4\frac{d^4y}{dx^4}-2x^3\left(\frac{d^4y}{dx^4}\right)-4x^2\left(\frac{d^4y}{dx^4}\right)-5x\left(\frac{d^4y}{dx^4}\right)+2\left(\frac{d^4y}{dx^4}\right)$

Try other ways to solve this exercise

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  • Product of Binomials with Common Term
  • FOIL Method
  • Find the integral
  • Find the derivative
  • Factor
  • Integrate by partial fractions
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
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Main Topic: Special Products

Special products is the multiplication of algebraic expressions that follow certain rules and patterns, so you can predict the result without necessarily doing the multiplication.

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