There are several uses.
For example:
* When analyzing curves, the second derivative will tell you whether the curve is convex upwards, or convex downwards.
* The Taylor series, or MacLaurin series, lets you calculate the value of a function at any point... or at least, at any point within a given interval. This method uses ALL derivatives of a function, i.e., in principle you must be able to calculate the first derivative, the second derivative, the third derivative, etc.
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.
With each successive boyfriend, her choices improve because she learns from her mistakes.
iteration
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.
Differentiation of funtion is rate of chnage of that funtion.
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taking the derivative over and over again.
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.
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
With each successive boyfriend, her choices improve because she learns from her mistakes.
iteration
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.
Differentiation was invented by both Newton and Leibniz independently from one another but we commonly use Leibniz notation.
Implicit differentiation is a special case of the well-known rules of derivatives. Using implicit differentiation would be beneficial in math equations.
differentiation.
It is use to fail the students in exams
Multiply your number by successive counting numbers.