We can see that the value of y depends on the value of x. We can conclude that, in calculus,INPUT (x) is independent of the OUTPUT (y) OUTPUT depends on the INPUT f(x) is responsible for the transformation of the INPUT to the OUTPUT and is called a "function"...
34K Discover what related rates in calculus are, their uses, and their importance. Know its formula and learn how to solve them through the given examples. Related to this QuestionSuppose that f is a differentiable function such ...
the position of a planet is a function of time(position = F(time)).Historically,the concept was elaborated with the infinitesimal calculus at the end of the 17th century,and ,until the 19th century,the functions that were considered were differentiable(that ...
differentiable activation functions, etc. etc. The reason for this is, if everything's differentiable, you can quickly calculate the gradient (the direction in which you need to adjust inputs to functions to get a better output).
What does y(0) = 1 mean in math? What does calculus mean and what is it used for? What do the semicolons mean? how do they work? The question has to do with the right circular cones { A_x:A_b = x^2:h^2 }. for applicability: to solve for the area of the cones base ...
How to Calculate a the Derivative of a Function What Is a Derivative? In calculus, a derivative is the rate of change at a given point in a real-valued function. For example, the derivative f'(x) of function f() for variable x is the rate that the function f() changes at the poi...
in analysis, special case of the mean-value theorem of differential calculus. Rolle's theorem states thatif a function f is continuous on the closed interval [a, b] and differentiable on the open interval (a, b) such that f(a) = f(b), then f′(x) = 0 for some x with a ≤ ...
The binary step function cannot provide multi-value outputs. This means that it is unsuitable for solving multi-class classification problems. Moreover, it is not differentiable, which means that it cannot be used with gradient-based optimization algorithms and this leads to a difficult training. ...
Consider the following derivative of a function: f′(x)=x−5/7(x+5). At what points, if any, does the function assume local maximum values?Local Maximum:The derivative of the function is given, making it easy to fin...
Vocabulary terms in mathematics can be tricky. The terms and words used in mathematics can sometimes have a different meaning than those same terms and words in everyday language, but they can also sometimes mean the same thing. Thus, being familiar with vocabulary in math is just as ...