Question: "Find the derivatives of all orders of the..." - Plainmath

hroncits8y

Answered question

2021-11-26

Find the derivatives of all orders of the functions y = (x - 1)(x + 2)(x + 3)

Answer & Explanation

Marian Tucker

Beginner2021-11-27Added 15 answers

Step 1
The function is y=(x-1)(x+2)(x+3).
Step 2
y=(x-1)(x+2)(x+3)

= (x^{2} + x - 2) (x + 3)

= x^{3} + 4 x^{2} + x - 6

Find the derivative with respect to x.

y^{'} = 3 x^{2} + 8 x + 1

y''=6x+8
y''=6

y^{(4)} = 0

All other higher-order derivatives will be 0.

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