Classroom Assignment Ryabushko - 6.1

Classroom assignment in higher mathematics, section 6.1.
Section: Chapter 6. Differential Calculus of Functions of One Variable and Its Applications
Topic: Derivative of a function
Description: Finding the derivative by definition, examining the continuity and differentiability of a function at a point, computing derivatives of elementary functions, composing the equations of the tangent line and the normal to a curve, finding the angles of intersection of curves, the physical meaning of the derivative (velocity of a moving point).

Tasks:
1. Find the derivative of a function using the definition of the derivative
2. Determine whether the function is continuous and differentiable at the point x = 0
3. Find the derivatives of the following functions
4. Compose the equations of the tangent line and the normal to the curve at the point with abscissa x0 = 1
5. Find the angles at which the lines given by equations intersect

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