Monday

September 15, 2014

September 15, 2014

Posted by **Ann** on Thursday, October 31, 2013 at 2:38am.

What is the easiest way to find the derivative of this? Should I remove all the radicals and use quotient rule, like

f'(x)= ((x^0.5) + 7)(0.5x^-0.5) - ((x^0.5)-7)(0.5x^-0.5) / ((x^0.5) + 7)^2

Is this right? How do I simplify this? please show me thanks

- Pre-Calculus -
**Steve**, Thursday, October 31, 2013 at 5:00amRadicals or exponents. Tomato, tomahto. Either way, it's slightly messy, but simplifies rather nicely.

f = (√x-7)/(√x+7)

As you say,

f' = (1/2√x)(√x+7)-(√x-7)(1/2√x))/(√x+7)^2

= (7/√x)/(√x+7)^2

= 7/[√x(√x+7)^2)

- Pre-Calculus -
**Ann**, Saturday, November 2, 2013 at 5:21pmthank you

**Answer this Question**

**Related Questions**

Algebra 1 - Simplifying Radicals, Use the quotient property to simplify the ...

Math - Find an equation of the line that bisects the obtuse angles formed by the...

Pre-Calculus - Find the slope of the tangent line to the curve √(1x+2y...

maths - I will be thankfull to you if you help me to solve the below problem: 6...

Math - Help with radicals please - Please show work Simplify rational 1. 4√...

amth/algebra - can someone help me with simplification: 20/5 - 1/5 my first ...

Calculus - y=(√x)/((√x)+1) Find the concavity and point of ...

Algebra - How would i complete these problems? 1. (√6mn)^5 2. ^3√16x...

MATH PLEASE CHECK IT!!2 - sqrt2/sqrt10 here is what I got: sqrt (2/10)= sqrt (1/...

Algebra 2: Radicals URGENT!! - Could some kind, saintly soul help me solve this ...