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Calculus/derivatives and limits

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Expert: Alon Mandes - 3/1/2010


Question
part(a):differentiate
f(x) = sec^3x

part(b):
differentiate:
f(x)=(4-x^2)^10

part(c):
find derivative of f if
f(x)= 2tanx+tan2x+tan^2x+tan(x^2)

Answer
1. f(x) = sec^3x
We know that [sec(x)]'=sec(x)tan(x) . Therefore :
f'(x)=3sec(x)tan(x)

2. f(x)=(4-x^2)^10
We know that [f(x)^n]'=n*f'(x)*[f(x)]^(n-1) . Therefore :
f'(x)=10*(-2x)*(2-x^2)^9

3.f(x)= 2tanx+tan2x+tan^2x+tan(x^2)
We know that [tan(x)]'=sec^2(x) . Therefore :
f'(x)=2*sec^2(x)+2*sec^2(2x)+2*sec^2(x)*tan(x)+2x*sec^2(x^2)

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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