Find the first and second derivatives. f(P)=(8P+1)^{4} \frac{d}{dP}[f(P)]= \frac{d^{2}}{dP^{2}}[f(P)]=

Lewis Harvey

Lewis Harvey

Answered question

2021-06-07

Find the first and second derivatives.
f(P)=(8P+1)4
ddP[f(P)]=
d2dP2[f(P)]=

Answer & Explanation

SabadisO

SabadisO

Skilled2021-06-08Added 108 answers

Step 1
f(P)=(8P+1)4
Step 2
f(P)=(8P+1)4
f(P)=d(8P+1)4dP
=4(8P+1)3d(8P+1)dP
=4(8P+1)3(8.1)
=32(8P+1)3 ANS
f(P)=d(f(P))dP
=d(32(8P+1)3)dP
=32d((8P+1)3)dP
=32×3×(8P+1)2×d(8P+1)dP
=32×3×(8P+1)2×8
=768(8P+1)2 ANS

Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-24Added 2605 answers

Answer is given below (on video)

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