Chapter 11.1, Problem 3CP

### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042

Chapter
Section

### Mathematical Applications for the ...

11th Edition
Ronald J. Harshbarger + 1 other
ISBN: 9781305108042
Textbook Problem

# If y = ln x 2 + 1 3 ,  find  y ' .

To determine

To calculate: The derivative y of the equation y=lnx2+13.

Explanation

Given Information:

The provided equation is y=lnx2+13.

Formula Used:

The power rule for any positive number M is such that, lnMp=plnM, where p is any real number.

Derivative of natural logarithmic functions is such that, if y=lnu, where u is a differentiable function of x then dydx=1ududx.

Coefficient rule for a constant c is such that, if f(x)=cu(x), where u(x) is a differentiable function of x, then f(x)=cu(x).

Power of x rule for a real number n is such that, if f(x)=xn then f(x)=nxn1.

Constant function rule for a constant c is such that, if f(x)=c then f(x)=0.

Calculation:

Consider the equation, y=lnx2+13

Rearrange the equation

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