Derivative of given function using property of logarithms. f1x2=\ln\sqrt

Carol Gates

Carol Gates

Answered question

2021-10-26

Derivative of given function using property of logarithms.
f1x2=ln10x

Answer & Explanation

Faiza Fuller

Faiza Fuller

Skilled2021-10-27Added 108 answers

Step 1:To determine
Given:
f(x)=ln(10x)
To determine:
Derivative of given function using property of logarithms.
1.ln(xm)=mln(x)
2.ddxln(x)=1x
Step 3:Calculation
Consider
f(x)=ln(10x)
So, f(x)=ln(10x)12
Using property of logarithms, we have,
f(x)=12ln(10x)
Now, differentiating with respect to x, we have,
f(x)=12110xddx(10x)
f(x)=12110x10
f(x)=12x
Hence, derivative of the given function is f(x)=12x
Jeffrey Jordon

Jeffrey Jordon

Expert2021-11-03Added 2605 answers

Answer is given below (on video)

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