Derivative Calculator

How to Use the Derivative Calculator

Step 1: Select Function Type

Begin by choosing the type of mathematical function you wish to find the derivative of. Use the Select Function Type dropdown to make your selection. The options available include:

• Polynomial Function (e.g., x², x³)
• Trigonometric Function (e.g., sin, cos)
• Exponential Function (e^x)
• Logarithmic Function (ln x)

This choice determines the formula and calculation used to find the derivative.

Step 2: Input Coefficient

Enter the coefficient of your function in the Coefficient field. This represents the constant multiplier in front of the function (e.g., ‘a’ in ax^n).

Ensure the value is between -1000 and 1000, and utilize increments of 0.1 for precise calculations.

Step 3: Input Exponent (For Polynomial Functions)

If you selected a polynomial function, input the exponent of your function in the Exponent field. This is the power to which ‘x’ is raised (e.g., ‘n’ in ax^n).

The exponent should be between 0 and 100, and adjust using increments of 1.

Step 4: Input X Value

Next, enter the x-value at which you want to evaluate the derivative in the X Value field. This value is necessary to calculate the slope at a specific point on the function’s curve.

Ensure this value falls within the range of -1000 to 1000, using increments of 0.1 where necessary.

Step 5: Interpret the Results

• Derivative Formula: The calculated derivative is displayed as a formula based on your inputs. The formula adapts to the function type and provides the general derivative equation.
• Derivative Value at X: This result gives the value of the derivative at the specific x-value entered. It shows how steep the function is at that point.
• Slope at Point: This field mirrors the derivative value at x, confirming the slope at the particular point you specified.

The results are formatted to ensure a precise display of up to four decimal places, facilitating accuracy in interpretation.