Find the higher order derivatives for f(x)=x^{5}, what is f^{6} (x)?

Maiclubk

Maiclubk

Answered question

2021-10-18

Find the higher order derivatives for f(x)=x5, what is f6(x)?

Answer & Explanation

Sally Cresswell

Sally Cresswell

Skilled2021-10-19Added 91 answers

Step 1
According to the given information f(x)=x5 and it is needed to calculate f6(x).
Since, if p(x) is a polynomial of degree n then pk(x)=0 for kn.
So,
f6(x)=0 when f(x)=x5
Step 2
The calculation for above statement is:
f(x)=x5
f1(x)=5x4
f2(x)=20x3
f3(x)=60x2
f4(x)=120x
f5(x)=120
f6(x)=0

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