Derivatives Find the derivative of the following functions. y = \ln 2x^{8}

zi2lalZ

zi2lalZ

Answered question

2021-10-11

Derivatives Find the derivative of the following functions. y=ln2x8

Answer & Explanation

saiyansruleA

saiyansruleA

Skilled2021-10-12Added 110 answers

Step 1:To determine
Given:
y=ln(2x8)
To determine:
Find the derivative of the given function.
Step 2:Formula used
ddx(lnx)=1x
ddx(xn)=nxn1
Step 3:Calculation
Consider the given function y=ln(2x8)
Differentiating with respect to x and applying chain rule, we get,
dydx=ddx(ln(2x8))
dydx=12x8ddx(2x8)
dydx=12x8(2(8)x7)
dydx=12x816x7
dydx=8x
Hence, dydx=8x
Jeffrey Jordon

Jeffrey Jordon

Expert2022-11-15Added 2605 answers

Answer is given below (on video)

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