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Why you use differentiation?

Updated: 11/1/2022
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Futuresticgenius

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12y ago

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Differentiation lets you find the rate of change of a function. You can use this to find the maximum or minimum values of a differentiable function, which is useful in a lot of optimization problems. It's also necessary for differential equations, which are useful just about everywhere.

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What are some applications of differentiation in real life?

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


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 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.


Who invented differentiation?

Differentiation was invented by both Newton and Leibniz independently from one another but we commonly use Leibniz notation.


Why would one need to use implicit differentiation?

Implicit differentiation is a special case of the well-known rules of derivatives. Using implicit differentiation would be beneficial in math equations.


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