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Mathematics

Derivative of a function

1. Let’s review the most important rules of differentiation:

Solution:
Expanded – explicit – function y = f(x)

derivacia-funkcie-1a

derivacia-funkcie-1b

2. Differentiate and simplify the functions:

derivacia-funkcie-2z

Solution:

derivacia-funkcie-2ro.gif    

3.  Differentiate and simplify the functions:

derivacia-funkcie-3z

Solution:

derivacia-funkcie-3r

4. Differentiate and simplify the functions:

derivacia-funkcie-4z

Solution:

derivacia-funkcie-4r

5.Differentiate and simplify the functions:

derivacia-funkcie-5z

Solution:

derivacia-funkcie-5r

6. Differentiate and simplify the functions:

derivacia-funkcie-6z

Solution:

derivacia-funkcie-5r

7. Compute the first and second derivatives of the function y = x2·ex

Solution:

derivacia-funkcie-7

Video presentations are shared from the portal NAUČ SA MATIKU.
  • Introduction

  • Derivative of power, exponential, and logarithmic functions

  • Basic rules of differentiation