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In physics, how do you know when to use differentiation?

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Flavio Balistreri

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Q: In physics, how do you know when to use differentiation?
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What is the importance of differentiation and integration in real life?

There would be no modern technology without it. There would be no physics beyond the basic "high school" level. Physics leads to technology.


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Differentiation formulas of mathematics d dx x x plus 9?

If you mean x squared + 9, you differentiate this as follows: Use the differentiation formula for a power, to differentiate the x squared. Separately, use the differentiation formula for a constant, to differentiate the 9. Finally, use the differentiation formula for a sum to add up the parts.


What is the application of differentiation in real life?

Differentiation has various applications in real life. For example, in economics, it helps determine the marginal cost and revenue functions, which are essential for maximizing profit. In physics, it is used to calculate rates of change of quantities like velocity and acceleration. In medicine, differentiation is used to determine the rate at which a tumor is growing.


What is the Relationship between chain rule and implicit differentiation?

Chain rule is a differentiation technique which can be used in either implicit or explicit differentiation, depending upon the problem. On the other hand, implicit differentiation is a differentiation technique, which is used when all x's and y's are on the same side. Example: x squared + y squared = 4xy, in this case, you use implicit differentiation to actually differentiate the equation, and you use the chain rule to differentiate 4xy.


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