- Use ^ for powers:
x^4 - Supported functions:
sin(x),cos(x),tan(x),ln(x),exp(x),sqrt(x) - Trigonometric calculations use radians.
What is a derivada calculator?
A derivada calculator is a derivative calculator that helps you find the rate of change of a function. In calculus, the derivative tells you how fast one quantity changes relative to another. If your function is f(x), then the derivative f’(x) describes the slope of the curve at each point.
This tool is designed to be practical: enter a function, choose a variable, and instantly get the symbolic derivative. You can also evaluate the derivative at a specific point to compute a numeric slope.
How to use this derivative calculator
1) Enter your function
Type the expression in standard math syntax, for example:
x^2 + 3*x, sin(x), or exp(x)*ln(x).
2) Choose the variable
Most users differentiate with respect to x, but you can also use variables like t or y.
3) (Optional) Evaluate at a point
If you need the instantaneous slope at a specific value, enter the point and the calculator returns both:
- The symbolic derivative expression
- The numeric derivative value at that point
Examples you can try
- Polynomial:
x^3 - 4*x + 1→ derivative is3*x^2 - 4 - Trigonometric:
sin(x) + cos(x)→ derivative iscos(x) - sin(x) - Exponential:
exp(2*x)→ derivative is2*exp(2*x) - Logarithmic:
ln(x)→ derivative is1/x - Product rule style:
x^2*sin(x)
Why derivatives matter
Derivatives are used across science, engineering, economics, and data analysis. Anytime you care about change, optimization, or motion, derivatives are central.
Common applications
- Finding maximum profit or minimum cost in economics
- Computing velocity and acceleration in physics
- Gradient-based optimization in machine learning
- Analyzing growth and decline trends in real-world data
Tips for accurate input
- Use explicit multiplication: write
2*xinstead of2x. - Use parentheses for clarity:
sin(x^2)notsin x^2. - Use
ln(x)for natural log andlog10(x)for base-10 log. - For point evaluation, use a valid number (for example,
1.5or-2).
Final note
This derivada calculator is a fast way to check homework, verify symbolic algebra, or explore function behavior. For best learning results, compare the generated derivative with your own manual steps and identify where each rule (power, product, quotient, and chain rule) appears in the final expression.