FreeMathHelp.com's Derivative Calculator
How? Just type naturally or click the ⌨ in the box to use the math keyboard. Examples: x^2 for x², \sin(x) for sin(x), \frac{a}{b} for fractions, e^x for exponentials.
Remember! Don't rely on any one tool to do all the work for you, and always check your work for correctness!
How does it work?
Enter your mathematical expression in the box above and click the button to submit your question. Please be patient while our software processes your request. If you're not sure what to enter, look over the sample problems below to see the types of equations this tool can solve. The solver has been tweaked specifically to provide step-by-step instruction, not just an answer. Remember the idea is to *learn* -- not to copy solutions blindly. As the solver matures, this will become more clear as the ability to generate large numbers of final answers will be restricted, and users will have to participate in the solving process.
This is a brand new feature to FreeMathHelp.com -- give it a whirl and see what you think!
Try finding derivatives of:
- x^2 + 3x
- sin(x)
- e^(2x)
- x^3 * cos(x)
- (x^2 + 1)/(x - 1)
- sqrt(x^2 + 1)
Common Derivative Rules
Here's a quick reference of derivative rules this calculator uses:
- Power Rule: d/dx(x^n) = nx^(n-1)
- Product Rule: d/dx(uv) = u'v + uv'
- Quotient Rule: d/dx(u/v) = (u'v - uv')/v²
- Chain Rule: d/dx(f(g(x))) = f'(g(x)) · g'(x)