Posted by cathy on Tuesday, October 30, 2012 at 1:16am.
how would i find the derivative of these?
calc - Reiny, Tuesday, October 30, 2012 at 9:31am
remember that √x = x^(1/2)
f ' (x) = 1/(√x + 1) ( (1/2)x^(-1/2)
= 1/( 2x^(1/2) (√x)(√x + 1)
= 1/( 2√x(√x + 1) or 1/(2(x+√x)
not clear if you meant
ln( x + 1/x - 1) --- the way you typed it , or
ln( (x+1)/(x-1) ) --- I have a feeling that's the one, or
ln( x + 1/(x-1) )
I will read it as ln ((x+1)/(x-1))
then this can be changed to
ln(x+1) - ln(x-1)
f ' (x) = 1/(x+1) - 1/(x-1)
= (x-1 - (x+1))/((x+1)(x-1))
notice how important brackets are ?
Answer This Question
More Related Questions
- Math - Find an equation of the line that bisects the obtuse angles formed by the...
- Calculus - How would I find the second derivative if f(x)= √(x^3+2) using ...
- Calculus - y=(√x)/((√x)+1) Find the concavity and point of ...
- Math - Could I please get some help for these 3 questions, apologies for asking ...
- 8th grade algebra - Can you check my answers? 1. 3√20/√4 = 3√(...
- Algebra - How would i complete these problems? 1. (√6mn)^5 2. ^3√16x...
- Algebra 2 Answer Check - Simplify by rationalizing each denominator. 1. 2/√...
- Calc 1 - √1+t-√1-t/t lim -----> 0 The answer is one and I am not ...
- Algebra - 1. Simplify the expression: 4√18+5√32 A.45√2 B.32...
- Algebra - Check My Work - For Question 1-8 Simplify the Radical Expression...