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Calculus/equation of the tangent line through the given point

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Expert: Alon Mandes - 10/13/2009


Question
f(x)=x^2-3x+4, at P(2,2)

Answer
The tangent line will be from the form of y=mx+n . We need to calculate m & n .
Calculating m :
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m is the slope of the line which is also the slope of the function. Therefore, we 1st derive
f(x) :
f'(x)=2x-3 . Then we find f'(2):
m=f'(2)=2*2-3=1 .
Calculating n :
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To find n , we substitute the point P in the equation of the tangent line :
2=2*m+n
2=2+n
n=0 .
Thus, Tangent Line : y=x

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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