Derivative Calculator

Q: Can I calculate derivatives of trigonometric functions?

Yes! You can calculate derivatives for sin(x), cos(x), tan(x), and combinations of these functions.

Q: Can I use this tool for exponential and logarithmic functions?

Yes. The calculator supports e^x, ln(x), and combinations with other functions.

Derivative Calculator

Symbolic differentiation + numeric evaluation + graph

Responsive Symbolic Graph

Function f(x)

Variable

Order

Simplify result

Render in LaTeX

Numeric Evaluation

Evaluate at

x =

Precision

Graph Settings

x min

x max

Plot derivative

Plot function

Supported: +, -, *, /, ^, sin(), cos(), tan(), asin(), acos(), atan(), ln(), log(), exp(), sqrt(), abs(). Use parentheses and explicit multiplication like 2*x.

Results

Input

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Derivative

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Numeric

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Graph

History

Advanced Derivative Calculator: Step-by-Step Guide

Calculating derivatives can be tricky, but our Advanced Derivative Calculator makes it easy to compute the derivatives of mathematical functions step by step. Whether you’re learning calculus or solving homework problems, this tool guides you through each stage.

How to Use the Derivative Calculator

Simply enter your function in the input field. Examples include:

x^2 + 3*x + 5
sin(x) + cos(2*x)
ln(x) + e^x
√(x) + 1/x

Then click Calculate Derivative. The result appears immediately, along with detailed solution steps explaining how the derivative was computed.

Features of the Calculator

Step-by-step derivative calculations.
Supports polynomial, trigonometric, exponential, and logarithmic functions.
Interactive keypad for quick input of mathematical symbols.
Example functions to help you get started quickly.
Clear explanation of derivative rules applied, including power, sum, product, quotient, and chain rules.

Step-by-Step Example

Let’s calculate the derivative of f(x) = x^2 + 3*x + 5:

Identify the function: f(x) = x^2 + 3*x + 5
Apply the power rule: d/dx[x^n] = n*x^(n-1)
Derivative of x^2 is 2x
Derivative of 3*x is 3
Derivative of constant 5 is 0
Combine results: f'(x) = 2x + 3

Frequently Asked Questions (FAQ)

Q: Can I calculate derivatives of trigonometric functions?

Yes! You can calculate derivatives for sin(x), cos(x), tan(x), and combinations of these functions.

Q: Does the calculator show step-by-step solutions?

Absolutely! The calculator provides detailed steps, showing which derivative rules were applied.

Q: Can I use this tool for exponential and logarithmic functions?

Yes. The calculator supports e^x, ln(x), and combinations with other functions.

Q: Is this suitable for beginners learning calculus?

Definitely. The interactive keypad, examples, and step-by-step explanations make it beginner-friendly.

Derivative Calculator