Advanced Derivative Calculator
Compute step-by-step derivatives of mathematical functions
+
–
*
/
^
(
)
sin
cos
tan
ln
log
√
exp
e
π
Example Functions:
- x^2 + 3*x + 5
- sin(x) + cos(2*x)
- ln(x) + e^x
- √(x) + 1/x
Derivative Result:
Result will appear here…
Solution Steps:
- Steps will appear here after entering the function.
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 + 5sin(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^2is2x - Derivative of
3*xis3 - Derivative of constant
5is0 - 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.
