Find the derivatives f(x)=(x^{2}-2x+1)(x^{2}-1)

coexpennan

coexpennan

Answered question

2021-03-26

Find the derivatives
f(x)=(x22x+1)(x21)

Answer & Explanation

hesgidiauE

hesgidiauE

Skilled2021-03-28Added 106 answers

Step 1
The given function is f(x)=(x22x+1)(x21)
Step 2
Using formula
ddx(f.g)=gddxf+fddxg
ddxxn=nxn1
Step 3
On differentiating
f(x)=(x22x+1)(x21)
df(x)dx=(x21)ddx(x22x+1)+(x22x+1)ddx(x21)
f(x)=(x21)(2x2)+(x22x+1)(2x)
f(x)=(2x32x22x+2)+(2x34x2+2x)
f(x)=4x36x2+2

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