CalculuspSEO Index: derivative-calculator
Step-by-Step Derivative Calculator
Compute derivatives of any function instantly. Calculate derivatives using the power rule, chain rule, product rule, and quotient rule with complete step-by-step differentiation analysis.
d/dx
Examples:
Differentiation Rules
Power Rule
d/dx [x^n] = nx^(n-1)
Product Rule
[fg]' = f'g + fg'
Chain Rule
d/dx [f(g(x))] = f'(g(x))g'(x)
Constant Rule
d/dx [c] = 0
Solution Methodology
01
Input Function
Enter the mathematical expression f(x) you wish to differentiate.
02
Identify Rules
The engine identifies which differentiation rules (chain, product, quotient) apply to the expression.
03
Differentiate
Each term is differentiated step-by-step until the final derivative is reached.
Common Questions
How do you calculate the derivative of a function?
The derivative represents the instantaneous rate of change. It is calculated using differentiation rules like the power rule (d/dx x^n = nx^{n-1}) or the definition of the limit.
Can this calculator handle the power rule and chain rule?
Yes, our engine automatically applies the power rule, chain rule, product rule, and quotient rule to solve complex multi-variable and nested functions.
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