Simplifying Radical Expression vs CloudLabs Propagation speed

The DOST Courseware is a locally-produced, all-original Filipino highly interactive multimedia educational application packages that are conceptualized, digitized and produced as spearheaded by the Science Education Institute (SEI-DOST) in partnership with the Advanced Science and Technology Institute (ASTI-DOST) and in cooperation with the Department of Education (DepEd), Philippine Normal University (PNU) and University of the Philippines-National Institute for Science and Mathematics Education (UP-NISMED), which aims to develop information and communication technology learning innovation to support the upgrading and improvement of science and mathematics education in the country. The DOST Courseware are provided for free to schools and are also made available online as supplemental resources for teachers and student as a fun and interactive approach to e-learning and blended learning. The Grade 7 DOST Courseware is composed of 120 lessons overall, 73 lessons in Science where it covered the domains on: Matter; Force, Motion and Energy, Living Things and Their Environment and Earth and Space while the 60 lessons in Mathematic covered the domains on: Numbers and Number Sense, Patterns and Algebra, and Geometry. The Grade 8 DOST Courseware is composed of 118 lessons overall, 61 lessons in Science where it covered the domains on: Parts and Functions, Ecosystems, Heredity: Inheritance and Variation of Traits, Structures and Functions, Biodiversity, and Evolution, while the 57 lessons in Mathematics covered the domains on: Linear Equations, Quadratic Equations, Rational Algebraic Equations, Integral Exponents, Radicals, Arithmetic Sequence and Geometric Sequence. The themes of the courseware for Grades 7 and 8, Magicademy, Freddy’s Lab and D’nayao will surely amuse the users as they explore these distinct worlds while learning at the same time.

In this simulation, you will use the derivatives of logarithmic and exponential functions to find the growth of some bacteria. Once you have the bacterial culture, you will obtain the population vs. time graph and the corresponding function. You will need to differentiate the function in order to find the mathematical expression which models the propagation speed.