IDZ Ryabushko AZ 6.1

IDZ Ryabushko AZ 6.1

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

The ready solution includes:
• Complete solution of all 5 tasks of the variant
• Detailed explanations for each step
• All formulas and calculations
• Format of your choice: PDF or Word (editable)
• Available for download immediately after payment