Is f(x)=-2x^{5}-2x^{3}-12x^{2}-6x+1 concave or convex at x=-1?

windpipe33u

windpipe33u

Answered question

2022-04-23

Is
f(x)=2x52x312x26x+1 concave or convex at x=1?

Answer & Explanation

ritmesysv

ritmesysv

Beginner2022-04-24Added 12 answers

Step 1
You would get the first and the second derivative; then:
f(x)=10x46x224x6
f(x)=40x312x24
f(1)=401224<0
Since f(1)<0, f(x) is concave at x=1

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