0
Yes.
y = e^x
dy/dx = e^x
Note: e^x = 1 + x + x²/2! + x³/3! + ... + x^r/r! + ...
→ d/dx(e^x) = 1 + x + x²/2! + x³/3! + ... + x^(r-1)/(r-1)! + ...
(The font is extremely bad: r! is r-exclamation mark = r factorial = r × (r-1) × (r-2) × ... × 2 × 1)
Wiki User
∙ 6y ago
Add your answer:
Earn +20 pts
What do you call a function whose graph is a non-vertical line?
It is a function. If the graph contains at least two points on the same vertical line, then it is not a function. This is called the vertical line test.
How do you graph cosine functions?
it is the same as a sin function only shifted to the left pi/2 units
Is f(x) shifted downward a units?
To shift a funcion (or its graph) down "a" units, you subtract "a" from the function. For example, x squared gives you a certain graph; "x squared minus a" will give you the same graph, but shifted down "a" units. Similarly, you can shift a graph upwards "a" units, by adding "a" to the function.
How do you graph an absolute value function?
This would be graphed the same way as any other function, except that any values which are normally drawn below the x-axis are instead reflected around it.
Explain why f represents the graph of a function?
if the question is why is it labelled as f(x) ? it means the function (the 'f') at a certain x value. saying f(x) is said as 'f at x'. it's the same as saying 'function at x'
How do you get the second derivative of potential energy?
The same way you get the second derivative from any function. Assuming you have a function that expresses potential energy as a function of time, or perhaps as a function of position, you take the derivate of this function. This will give you another function. Then, you take the derivate of this derivative, to get the second derivative.
How can you tell whether a graph is a function or not?
A vertical line test can be used to determine whether a graph is a function or not. If a vertical line intersects the graph more than once, then the graph is not a function.
Function and inverse of function graph is the same?
In general the function and it inverse are not the same and do not have the same graph. If we look at a special function f(x)=x, it is equal to its inverse and the graph is the same. Think of the inverse of a function as changing all the x's to y's and vice versa. Well, in the function f(x)=x, all the x's are already y's and vice versa so it is its own invese.
Is graph and chart similar?
In statistics, a graph and a chart are the same. In arithmetic, a graph is the plot of a function over values. There are no charts.
How are line graph and bar graph the same?
Because they both produce the exact same data except one is in bar form and the other is a line....
Why does an answer to an integration problem involve a Constant of Integration?
The indefinite integral is the anti-derivative - so the question is, "What function has this given function as a derivative". And if you add a constant to a function, the derivative of the function doesn't change. Thus, for example, if the derivative is y' = 2x, the original function might be y = x squared. However, any function of the form y = x squared + c (for any constant c) also has the SAME derivative (2x in this case). Therefore, to completely specify all possible solutions, this constant should be added.
What is the purpose of differential calculus?
Differential Calculus is to take the derivative of the function. It is important as it can be applied and supports other branches of science. For ex, If you have a velocity function, you can get its acceleration function by taking its derivative, same relationship as well with area and volume formulas.
What you say if a function whose derivative and antiderivative is same?
That means that either the function is equal to zero everywhere (y = 0), or it is the exponential function (y = ex).
What do you call a function whose graph is a non-vertical line?
It is a function. If the graph contains at least two points on the same vertical line, then it is not a function. This is called the vertical line test.
How do you measure slope?
It is the derivative of the vertical change relative to the horizontal change - if the derivative exists. So, with the typical x-y graph, it would be dy/dx. If the graph is a straight line, then it is the change in the vertical positions between any two points divided by the change in the horizontal positions between the same two points (in the same order).
What is intergration in calculus?
It is taking the anti-derivative. If you don't know what that is yet, it is the same as finding the area under a graph (between the curve and an axis).
When finding the derivative of a point on a piecewise function does every function in the piecewise function need to be continuous and approach the same limit?
All differentiable functions need be continuous at least.
