Calculate deductions online
— with calculation and graphs!
Also test the Integral calculator!
Derivative Calculator in English
Calculadora de Derivadas en espanol
The derivative calculator calculates online derivatives of any function – free of charge!
Check your calculus homework with this online calculator. It helps you to learn by showing you the complete calculation path.
The derivation calculator can calculate the first, second.., Calculate fifth derivative. Derivatives of functions with several variables (partial derivatives), implicit derivatives as well as the calculation of zeros are no problem. You can also check your solutions! Interactive function graphs make it easier to understand.
More about the operation of the derivative calculator can be found under"Help", or look at the examples.
And now: Happy deduction!
Enter the function you want to derive into the input field. Let thereby"f(x) =" away. The derivative calculator shows you a graphical version of the input. Make sure that they are exactly that shows what you mean. If necessary, set parentheses to achieve this, z. B. "a/(b+c)". Write decimal fractions with a period instead of a comma, i.e. z. B. "3.141".
Under"Examples" you can see which functions are supported and how to use them.
When you have entered your function, click on"Go!". After a short calculation time the result is then displayed below.
Under"Options" you can Derivative variable and the Order set (1., 2., … derivative) and the Show calculation path and the Simplify expressions on or. turn off.
Click takes over the example into the derivative calculator. Hover your mouse over it to display the text.
How the derivative calculator should work?
With the task generator you can generate as many random exercises as you want.
Below you will find settings and a suggested task. You can accept it (then it will be entered into the computer) or generate a new one.
Accept task Next task
What do you want to derive? Enter your own solution:
The following is calculated:
Load … please wait!
This will take a few seconds.
Not what you mean? Set parentheses! Set derivative variable and order in"Options".
Recommend derivative calculator
Like this page? Then you can support her by giving her a Like me type. Thank you!
Analysis compact for dummies
The perfect choice for anyone looking for a compact tutoring book. The author knows how to convey the most important concepts of calculus in a relaxed way, including of course derivatives and integrals! → to the book
Paid link. As an Amazon affiliate, I earn from qualified purchases.
Did I help you with this calculator? Then I would be very happy about your support. You are welcome to send me a Donate via PayPal.
ResultEnter the function to be derived above. Derivative variable and more you can find in"Options" change. Click"Go!", to start the calculation of the derivative. The result is shown below.
How the derivative calculator works
For the technically interested user, here is a brief explanation of how the derivative calculator works.
The entered mathematical function is first analyzed by a parser. The parser transforms the mathematical function into a structure that is easier for the computer to process, namely a tree (see image below). The derivation calculator must take into account the ranking of different operators (z. B. the "dot before dash-Rule). There is also a special feature of mathematical expressions: The multiplication sign is often omitted, z. B. write "5x instead of "5*x. The derivation calculator must recognize these cases and add the multiplication sign.
Will the "Lot!"-If you click the button, the derivation calculator sends the mathematical function in its original form together with the settings (derivation variable and number of derivatives) to the server. There the function is analyzed again. This time, however, the function is converted into a different form so that it can be understood by the computer algebra system Maxima.
Maxima takes over the calculation of the derivatives. Like any computer algebra system, it applies a set of rules to simplify the function and derive it according to the commonly known derivation rules – just like you learn it in math class. The output of Maxima is then converted back into LaTeX form and presented to the user.
The "solution check-Function has the difficult task of determining for two mathematical expressions whether they are equivalent. For this purpose, their difference is formed and simplified as much as possible with the help of maxima. Hereby z. B. trigonometric/hyperbolic functions into their exponential form. If it can be shown in this way that the difference is zero, then the problem is solved. Otherwise, a probabilistic algorithm is applied, which evaluates and compares the functions at randomly selected points.
Do you have any questions or suggestions for improvement to the derivation calculator? Did it help you with studying or exam preparation? You are welcome to send me an e-mail. I appreciate any feedback!