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Exercise

d5ydx5(3x6−3x3+6x)\frac{d^5y}{dx^5}\left(3x^6-3x^3+6x\right)

Step-by-step Solution

1

Multiply the single term d5ydx5\frac{d^5y}{dx^5} by each term of the polynomial (3x6−3x3+6x)\left(3x^6-3x^3+6x\right)

3x6(d5ydx5)−3x3(d5ydx5)+6x(d5ydx5)3x^6\left(\frac{d^5y}{dx^5}\right)-3x^3\left(\frac{d^5y}{dx^5}\right)+6x\left(\frac{d^5y}{dx^5}\right)

Final answer to the exercise

3x6(d5ydx5)−3x3(d5ydx5)+6x(d5ydx5)3x^6\left(\frac{d^5y}{dx^5}\right)-3x^3\left(\frac{d^5y}{dx^5}\right)+6x\left(\frac{d^5y}{dx^5}\right)

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d5ydx5 (3x6−3x3+6x)
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