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Calculus/slope and differentiation

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Expert: Alon Mandes - 10/15/2010


Question
find the slope of the tangent line to the graph of the function at a given point.
g(x)=3/2x+1...(-2,-2)

Answer
Hello Vanessa,
I didn't understand if the graph g(x) is whether (3/2)x+1 or
3/(2x+1) or [3/(2x)]+1 . So, I will solve the question with g(x)
is 3/(2x+1) .
So, the tangent line will have a form L(x)=ax+b , where a is the slope of the line. We know that the slope will be equal to the slope of the function g(x). And since we know that slope=derivative, then
L'(x)=g'(x) at x=-2 .
Now,
L'(x)=a , AND g'(x)=[ 3/(2x+1) ]'= [-3/(2x+1)^2]*2=-6/(2x+1)^2 .
Thus,
a=-6/(2*2+1)^2
a=-6/25

P.s If the you ment g(x) to be otherwise , please notify me .

Best regards,

Alon.

Calculus

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Alon Mandes

Expertise

Kind of questions I can answer : Limits, Derivatives, Integration, Implicit functions, continuousity, differentiation ,Extremum problems, Lagrange multipliers, Gradients, Surface integrals, Multi variables functions ,Multi variables Integrals,Complex variables ,Complex functions, Curves, Trajectory integrals & Vector analyse,Divergence,Rotor & word problems. Kind of question I can't answer : Economics,Combinatorics,infinite series & convergence ,Statistics & Probabilities .

Experience

1. I'm a team member of mathnerds (math site for answering questions) 2. I'm a team member in the Student's Union of the Technion, helping students who have problems in mathematics. 3. 2 years of experience as a math teacher in college. 4. I give free homework help for high school students in Mathematics & Physics. 5. I teach part time in collage the subjects : "Digital Signal Processing" , "Random Signals & Noise" , "Complex Functions".

Organizations
Hi-Tech company : GSM4VOIP ; job possition : Algorythm developer.

Education/Credentials
M.A in Mathematics & Bs.c in Electronics.

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