Online Derivative Calculator

Step-by-Step Guide to Using the Online Derivative Calculator

Step 1: Select the Function Type

Begin by choosing the type of function you want to differentiate. There are several options available for function types:

• Polynomial: Use this for expressions like x^2 + 2x + 1.
• Trigonometric: Select for functions such as sin(x) or cos(x).
• Exponential: Choose for exponential functions like e^x.
• Logarithmic: Use for logarithmic expressions like ln(x).

Ensure you make the selection carefully, as it determines how the derivative is calculated.

Step 2: Enter Function Parameters

• Coefficient: Input the coefficient for your function. This is a required field, with valid values ranging from -1000 to 1000 in steps of 0.1.
• Exponent: Enter the exponent if applicable (e.g., 2 for x^2). This field also requires a value between -10 and 10, with whole number steps.

Make sure both fields are filled in according to the instructions, as they are essential for calculating the derivative.

Step 3: Specify the Point of Evaluation

In the Point x field, enter the x-coordinate where you wish to evaluate the derivative. This should be a number between -100 and 100, allowing for fractional values with a step size of 0.1.

Step 4: View the Derivative Results

Once all the input fields have been completed, the calculator will display the results in three main fields:

• Derivative Expression: This shows the symbolic representation of the derivative based on the selected function type.
• Derivative Value at x: This provides the numerical value of the derivative evaluated at your specified point x. The result will be rounded to four decimal places for precision.
• Slope at Point: This is the same as the “Derivative Value at x” and denotes the slope of the tangent line to the function at the specified point.

Ensure that all inputs are correct, so the values computed for the derivative reflect the true change rate of your function at the provided point.