Pretty much any serious statistical model or experiment on anything will use basic calculus to interpret data.
Anything that exponentially grows or decays (radioactive matter, bacteria, population growth, etc.)
Anything that's built to be structurally sound.
Anything that uses the EM spectra (radio, microwaves, visible light, etc.)
All scientific industries use calculus practically constantly.
And on and on and on...
In reality, it's rarely pure theoretical calculus that's being done. Rather, another branch of math based on and built from the principles and results of calculus is primarily used called differential equations.
Don't forget integration, the other "half" of calculus. That is as equally important in your listed applications.
Also, both theoretical and applied calculus use both differentiation and integration. Differentiation isn't a separate branch of maths, but one of the two major branches of calculus as a whole.
Physicists, chemists, engineers, and many other scientific and technical specialists use calculus constantly in their work. It is a technique of fundamental importance.
Yes if it was not practical it was not there. You can see the real life use on this link http://www.intmath.com/Applications-differentiation/Applications-of-differentiation-intro.php
Some people find calculus easier, others find physics easier. There is no general answer.
Simple answer: Calculus involves derivation and integration, precal doesn't. Pre calculus gives you some of the algebraic, geometric and trigonometric understanding that is required to comprehend the concepts in calculus. Without the knowledge from precal, calculus would not be easily understood, as it is taught in schools today.
In short, no. Elementary calculus includes finding limits, basic differentiation and integration, dealing with sequences and series, and simple vector operations, among other concepts. Pre-calculus mostly focuses on the algebra necessary to perform those operations, with perhaps some introduction to limits or other simple ideas from elementary calculus.
Physicists, chemists, engineers, and many other scientific and technical specialists use calculus constantly in their work. It is a technique of fundamental importance.
Yes if it was not practical it was not there. You can see the real life use on this link http://www.intmath.com/Applications-differentiation/Applications-of-differentiation-intro.php
That depends on what your "real life" consists of. If you sell merchandise at a supermarket, or do carpentry work, you won't need such advanced mathematics. If you work in the engineering fields, you might need it at some moment like with electromagnetic fields, gravitational fields and fluid flow. If you are an engineer you will come across vector calculus to handle three dimensional space.
There are many examples of daily life applications of real numbers. Some of these examples include clocks and calendars.
What are the Applications of definite integrals in the real life?
taxes, sales, investment etc
Airplanes, Helicopters, Kites, Birds
Calc. has many applications. A few of them are calculating: work, area, volume, gradient, center of mass, surface area...
Trampolines, garage doors, taints, and anal wrinkles
Some examples of real life applications include:1) Reactions in which a strong acid is used2) Trying to neutralize your stomach acids3) When eatingSources: acid-base-reaction
Your real life may or may not ever involve congruent triangles. The reason why they are studied is because in mathematics, everything interconnects. Geometry is a tool that is used to help understand many other types of mathematical problems; combined with algebra you get analytical geometry, which is necessary to be able to do calculus, and calculus is essential for virtually any scientific or technical activity. But some people never use it. There are large numbers of people who never have any need for any form of mathematics more advanced than simple arithmetic.
Its importance is tremendous - it has many different applications. Some of the applications include calculation of area, of volume, moment of inertia, of work, and many more.