04/03/0018

Class Exercise 1 - Math intro

שאלה 1    Derivatives
< 1_1500>

Calculate the first and second derivatives of the following function:
  1. f(x) = \frac{1+x}{1-x}
  2. f(x) = x^2 e^{8x+\cos x}
  3. f(x) = 8(x\ln x-x)^3
  4. f(x) = x^x

שאלה 2    Integrals
< 1_1509>

Solve the following integrals:

שאלה 3    Solve equation
< 1_1200>

Solve \[ \sin 2x+2\sin (\frac{5\pi}{12}-x)\cos(\frac{5\pi}{12}+x)=0.5\]