Derivative Calculator: Find First, Second & Partial Derivatives

Calculate the derivative of a function with respect to a variable instantly. Derivatives are essential in calculus, physics, and engineering to determine rates of change. Simply input your function, and this calculator provides accurate results, supporting tasks in advanced mathematics, economics, and science.

Derivative Calculator – it simplifies complex calculations.

Do you know, derivatives are the building Block calculators, which is the measuring of change in a given variable due to change in another variable. Calculating derivatives can be tough, whether you are a student, a teacher, or a professional. That’s where our Derivative Calculator comes into play, offering step-by-step solutions to derive derivatives with ease.

Our Derivative Calculator will give you accurate results in no time!

Important Features of Our Derivative Calculator

Partial Derivative Calculator
Easily partial derive multivariable functions. This calculator will help you understand how to find the partial derivatives of a multivariable function step-wise.
Derivative Calculator with Steps, and much more
Understanding in detail about how derivatives are calculated. This is a great tool to learn and check your calculations.
Second Derivative Calculator
Are you needing to find the second derivative to study a function for concavity or for acceleration?
Third Derivative Calculator
Our tool to finds third-order derivative in advanced calculus problems saves the time and effort needed to find it manually.
Derivative of x
Our intuitive calculator has our Simple Calculator, allowing you to compute the derivative of any function involving xxx, simple or complex.
dy/dx Calculator
Use your computer power to easily find derivatives explicitly with respect to dy/dx(1)dy/dx(1)dy/dx(1) in the name of single-variable functions.
Logarithmic Difference Calculator
Easily solve logarithmic differentiation problems, great for dealing with exponential, composite functions.
Numerical Derivative Calculator
Our calculator returns accurate numerical outcomes for approximate derivatives or in those cases where analytical solutions are not feasible.

Why Our Derivative Calculator?

User-friendly interface.
For example, allows for many types of differentiation.
Copious amounts of examples with step-by-step solutions to facilitate learning.
You can perform both basic and pretty complicated calculus problems.

FA Questions of Otten (FAQs)

Q: What’s a derivative calculator?

A: A derivative calculator helps in determining how a function changes as its input variable changes. It makes things a lot easier, particularly for complicated equations, and provides step-by-step solutions.

Q: What is the method for the partial derivative calculator?

A: Write a multivariable function and tell it which variable to differentiate with respect to. The calculator will calculate the partial derivative and show work.

Q: Does the calculator do higher-order derivatives?

A: Yes, The Second Derivative Calculator or Third Derivative Calculator are available to determine higher derivatives.

Q: Will the calculator do logarithmic differentiation?

A: Absolutely! If you are ever in a situation like this ever, our Logarithmic Differentiation Calculator is made for you!

Q: Define numerical differentiation.

A: Numerical differentiation is the numerical approach to compute the derivative of a function given that the function does not allow for an analytic method to solve for the derivative. With our Numerical Derivative Calculator, you can calculate accurate results.

So, to brush your concepts of calculus problem solving you can try our Derivative Calculator.

Derivative Examples

1. \( f(x) = x^2 \)

Solution: \( f'(x) = 2x \)

2. \( f(x) = e^x \)

Solution: \( f'(x) = e^x \)

3. \( f(x) = \sin(x) \)

Solution: \( f'(x) = \cos(x) \)

4. \( f(x) = \cos(x) \)

Solution: \( f'(x) = -\sin(x) \)

5. \( f(x) = \ln(x) \)

Solution: \( f'(x) = \frac{1}{x} \)

6. \( f(x) = x^3 \)

Solution: \( f'(x) = 3x^2 \)

7. \( f(x) = \tan(x) \)

Solution: \( f'(x) = \sec^2(x) \)

8. \( f(x) = \sqrt{x} \)

Solution: \( f'(x) = \frac{1}{2\sqrt{x}} \)

9. \( f(x) = \frac{1}{x} \)

Solution: \( f'(x) = -\frac{1}{x^2} \)

10. \( f(x) = \ln(\sin(x)) \)

Solution: \( f'(x) = \cot(x) \)