Derivative Calculator with Steps – First, Second & Third Derivatives
Derivative Result
Enter a function and select Calculate Derivative.
Function:
Answer:
Value at point:
Steps:
How to Use the Derivative Calculator
Enter a mathematical function, choose the variable and derivative order, and then select “Calculate Derivative.” The calculator displays the derivative and the rules used in the calculation. Use the caret symbol for powers, such as x^2, and write functions as sin(x), cos(x), e^x, ln(x), sqrt(x), or 1/x.
Function
This is the expression you want to differentiate. The calculator supports constants, polynomial terms, sums, sin, cos, e raised to the variable, natural logarithms, square roots, and reciprocal functions.
Variable
This is the letter with respect to which the derivative is calculated. For example, use x when differentiating x^2 + 3x.
Order
First finds the derivative once, Second differentiates the result again, and Third differentiates it three times.
Value (Optional)
Enter a number to evaluate the final derivative at that point. Leave this field blank if you only need the derivative expression.
Result and Steps
The Answer shows the simplified derivative. Value at point shows the numerical result when an optional value is supplied. Steps identify the derivative rule applied during each stage of the calculation.