Multiply Functions Calculator

Enter two expressions and evaluate their product instantly. Review tables, roots, and plotted curves easily. Useful for homework, checking steps, and deeper function insight.

Calculator Input

Supported syntax:
Use x as the variable.
Supported functions: sin(x), cos(x), tan(x), asin(x), acos(x), atan(x), sqrt(x), abs(x), exp(x), log(x), ln(x).
Use ^ for powers. Example inputs: x+2, x^2-1, sin(x), sqrt(x+4), exp(x).

Example Data Table

Example functions: f(x) = x + 2 and g(x) = x² - 1

x f(x) g(x) f(x) × g(x)
-2 0 3 0
-1 1 0 0
0 2 -1 -2
1 3 0 0
2 4 3 12

Formula Used

For two functions, the product function is written as:

h(x) = f(x) × g(x)

To evaluate the product at one input, first find f(x), then find g(x), then multiply the two outputs.

If either function equals zero at a point, the product also becomes zero at that same point.

The graph section samples many x-values on the chosen interval and plots f(x), g(x), and the multiplied result h(x).

Approximate roots are detected from sampled sign changes and then refined numerically with interval bisection.

How to Use This Calculator

  1. Enter the first function in the f(x) field.
  2. Enter the second function in the g(x) field.
  3. Choose the x-value for direct evaluation.
  4. Set the interval start, end, and step size for the data table and graph.
  5. Select decimal places and a root tolerance.
  6. Press the button to display the result above the form.
  7. Use the CSV and PDF buttons to export the generated table.

Frequently Asked Questions

1) What does this calculator multiply?

It multiplies two functions of x and builds a new product function. It also evaluates the product at a chosen x-value, creates a table, estimates roots, and plots the curves.

2) Can I enter trigonometric expressions?

Yes. You can enter expressions such as sin(x), cos(x), tan(x), and inverse trigonometric forms. Standard algebraic combinations with powers and brackets are also supported.

3) What is the difference between log(x) and ln(x)?

In this calculator, log(x) is treated as base ten logarithm, while ln(x) is treated as the natural logarithm. Use the one that matches your coursework or textbook.

4) Why do some rows show Undefined?

Some expressions are not valid for every x-value. Examples include square roots of negative values or logarithms of nonpositive values. Those sample points appear as Undefined in the output table.

5) Are the displayed roots exact?

They are approximate roots found from the chosen interval and step size. A smaller step and tighter tolerance usually improve the estimate, especially near narrow crossings.

6) How should I write powers?

Use the caret symbol. For example, write x^2, (x+1)^3, or sin(x)^2. The calculator converts those powers before performing the final evaluation.

7) Can I multiply polynomials and nonpolynomials together?

Yes. You can combine polynomial, exponential, logarithmic, root, and trigonometric expressions as long as the input follows supported syntax and remains valid on the selected interval.

8) What do the CSV and PDF exports contain?

They export the generated result table showing x, f(x), g(x), the multiplied output, and row status. This is useful for reports, homework checking, and saved calculations.

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Important Note: All the Calculators listed in this site are for educational purpose only and we do not guarentee the accuracy of results. Please do consult with other sources as well.