Find the derivatives of the given functions. p(x)=(x^{2}+5x+2)(x^{4}-x

BenoguigoliB

BenoguigoliB

Answered question

2021-10-15

Find the derivatives of the given functions.
p(x)=(x2+5x+2)(x4x3+x2+x2)

Answer & Explanation

hosentak

hosentak

Skilled2021-10-16Added 100 answers

Expand p(x) first then apply power rule to find p(x)
Power rule: ddx(xn)=nxn1
p(x)=(x2+5x+2)(x4x3+x2+x2)
p(x)=x6+4x52x4+4x3+5x28x4
p(x)=6x5+4(5x4)2(4x3)+4(3x2)+5(2x)8
p(x)=6x5+20x48x3+12x2+10x8
Answer: p(x)=6x5+20x48x3+12x2+10x8

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