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.
Chat with our AI personalities
With each successive boyfriend, her choices improve because she learns from her mistakes.
iteration
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.
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.