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.
LaTeX:
How does it work?
Enter your function in the box above and click the button to submit. The calculator will identify which derivative rules to apply (power rule, product rule, quotient rule, chain rule, etc.) and show you the step-by-step process. Remember the idea is to *learn* -- not to copy solutions blindly.
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)