Calculateur de dérivées

The derivative measures the rate of change of a function at any given point. It represents the slope of the tangent line to the function at that point.

Common derivative rules:

• Power Rule: \(\frac{d}{dx}[x^n] = nx^{n-1}\)
• Constant Rule: \(\frac{d}{dx}[c] = 0\)
• Sum Rule: \(\frac{d}{dx}[f + g] = f' + g'\)
• Product Rule: \(\frac{d}{dx}[fg] = f'g + fg'\)
• Trigonometric: \(\frac{d}{dx}[\sin(x)] = \cos(x)\), \(\frac{d}{dx}[\cos(x)] = -\sin(x)\)
• Exponential: \(\frac{d}{dx}[e^x] = e^x\)