Derivatives involving ln x Find the following derivatives. ddx(ln⁡2x8)

David Lewis

David Lewis

Answered

2022-01-15

Derivatives involving ln x Find the following derivatives.
ddx(ln2x8)

Answer & Explanation

abonirali59

abonirali59

Expert

2022-01-16Added 35 answers

Step 1
Given:
ddx(ln2x8)
Step 2
ddx(ln(2x8))
Apply chain rule: ddx(f(g(x)))=dduf(u)ddxg(x) with u=2x8
=dduln(u)ddx(2x8)
Apply power rule: ddx(xn)=nxn1
=1u×28x81
=16x7u
Put back: u=2x8
=16x72x8
=8x

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