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Exercise

d5ydx5(x6−7x3+5x)\frac{d^5y}{dx^5}\left(x^6-7x^3+5x\right)

Step-by-step Solution

1

Multiply the single term d5ydx5\frac{d^5y}{dx^5} by each term of the polynomial (x6−7x3+5x)\left(x^6-7x^3+5x\right)

x6d5ydx5−7x3(d5ydx5)+5x(d5ydx5)x^6\frac{d^5y}{dx^5}-7x^3\left(\frac{d^5y}{dx^5}\right)+5x\left(\frac{d^5y}{dx^5}\right)

Final answer to the exercise

x6d5ydx5−7x3(d5ydx5)+5x(d5ydx5)x^6\frac{d^5y}{dx^5}-7x^3\left(\frac{d^5y}{dx^5}\right)+5x\left(\frac{d^5y}{dx^5}\right)

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d5ydx5 (x6−7x3+5x)
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