Differentiate Calculator

How to Use the Differentiate Calculator

The Differentiate Calculator is a helpful tool that allows users to calculate the derivative of a given function. This guide will walk you through the process step by step.

Step 1: Select Function Type

• Select Function Type: Start by choosing the type of function you will be working with. The options available are:
  • Polynomial: For functions like x^2 + 2x + 1
  • Exponential: For functions like e^x
  • Trigonometric: For functions like sin(x)
  • Logarithmic: For functions like ln(x)

This selection is crucial as it influences the calculation of the derivative.

Step 2: Enter Coefficient

• Enter Coefficient: Input the coefficient of your function. For example, for 2x^2, the coefficient is 2. Ensure your value is within the range of -1000 to 1000. The input accepts decimals, with a step size of 0.1.

Step 3: Enter Exponent

• Enter Exponent: Input the exponent for your function. For example, for x^2, the exponent is 2. The permissible range is -10 to 10 with a step of 1.

Step 4: Enter Point of Evaluation

• Point of Evaluation (x): This is the specific point at which you want to evaluate the slope of the function. Input the x-value you desire, ensuring it falls between -100 and 100, with allowed increments of 0.1.

Step 5: View Results

Once you have entered all the necessary information, the calculator will provide you with several key results:

• Derivative Formula: This is calculated using the formula coefficient * exponent * pow(point, (exponent - 1)). The result is displayed up to four decimal places.
• Slope at Point: This is the value of the derivative at your specified evaluation point. The calculation is identical to the derivative formula.
• Original Function Value: This calculates the value of your original function at the evaluation point using coefficient * pow(point, exponent) and is also displayed up to four decimal places.
• Rate of Change: This result shows the absolute value of the derivative, indicating the rate of change of the function, formatted with a suffix “units/x”.