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We ban all bots. Do I use the product rule or quotient rule first? I'm so confused because all I had to for my homework so far is finding the derivative of functions using specifically the quotient rule or the product rule, not something ambiguous such as this..
When your question has been answered, please edit the post's flair to "answered. Offers or solicitations of payment in any form. Those who spam us will be banned. Posting of quizzes or lists of questions. Copied questions without context or explanation. You must show some work or thought. Measuring the temperature is a limit again as time approaches infinity.
Limits are also used as real-life approximations to calculating derivatives. It is very difficult to calculate a derivative of complicated motions in real-life situations. So, to make calculations, engineers will approximate a function using small differences in the a function and then try and calculate the derivative of the function by having smaller and smaller spacing in the function sample intervals.
For example, when designing the engine of a new car, an engineer may model the gasoline through the car's engine with small intervals called a mesh, since the geometry of the engine is too complicated to get exactly with simply functions such as polynomials.
These approximations always use limits. How are limits Calculus limits used or applied to daily life? Or applied to the real world problems? I need a couple of examples!
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