Functions-Derivatives-Integrals Calculator

Enter your expression below:


n =

How does the Functions-Derivatives-Integrals Calculator work?

Given a polynomial expression, this calculator evaluates the following items:
1) Functions ƒ(x).  Your expression will also be evaluated at a point, i.e., ƒ(1)
2) 1st Derivative ƒ‘(x)  The derivative of your expression will also be evaluated at a point, i.e., ƒ‘(1)
3) 2nd Derivative ƒ‘‘(x)  The second derivative of your expression will be also evaluated at a point, i.e., ƒ‘‘(1)
4)  Integrals ∫ƒ(x)  The integral of your expression will also be evaluated on an interval, i.e., [0,1]
5) Using Simpsons Rule, the calculator will estimate the value of ≈ ∫ƒ(x) over an interval, i.e., [0,1]
This calculator has 7 inputs.

What 1 formula is used for the Functions-Derivatives-Integrals Calculator?

  1. Power Rule: f(x) = xn, f‘(x) = nx(n - 1)

For more math formulas, check out our Formula Dossier

What 8 concepts are covered in the Functions-Derivatives-Integrals Calculator?

rate at which the value y of the function changes with respect to the change of the variable x
The power to raise a number
relation between a set of inputs and permissible outputs
a mathematical object that can be interpreted as an area or a generalization of area
an exact location in the space, and has no length, width, or thickness
an expression of more than two algebraic terms, especially the sum of several terms that contain different powers of the same variable(s).
how many times to use the number in a multiplication

Example calculations for the Functions-Derivatives-Integrals Calculator

  1. given that f(x) = x^3 - x^2 + 2x, what is f(-3)?
  2. c=cost of filling up gas tank g= gallons given the equation c(g)=3.03(g) find c(2)
  3. integrate 5x^3
  4. derive 9h^3