Explore our comprehensive collection of 15+ free derivative calculators. Each tool provides step-by-step solutions, detailed explanations, and interactive features.
Essential tools for everyday calculus problems. Perfect for students learning differentiation fundamentals.
Calculate derivatives of any function with step-by-step solutions. Supports all differentiation rules.
Power Rule Chain Rule All FunctionsApply the chain rule to composite functions. Perfect for nested functions like sin(x²).
Composite Step-by-StepDifferentiate products of functions using (f·g)' = f'g + fg' formula.
Product Rule Multiple FunctionsCalculate derivatives of rational functions using the quotient rule.
Quotient Rule FractionsSpecialized tools for higher-level calculus and multivariable functions.
Find partial derivatives for multivariable functions. Essential for calculus III.
Multivariable ∂f/∂x ∂f/∂ySolve implicit differentiation problems where y is not explicitly defined.
Implicit dy/dxCalculate second, third, fourth, and nth order derivatives.
f''(x) f'''(x) nthCalculate derivatives in any specified direction using vectors.
Direction Vectors 3DFind the gradient vector (∇f) of multivariable scalar functions.
∇f Vector CalculusDedicated calculators for specific types of functions.
Specialized tool for derivatives of sin, cos, tan, and their combinations.
sin(x) cos(x) tan(x)Calculate derivatives of logarithmic functions including ln(x) and log(x).
ln(x) log(x)Differentiate exponential functions like e^x, a^x, and complex exponentials.
e^x a^xFind derivatives of inverse functions using the inverse function theorem.
f⁻¹(x) InverseCalculate dy/dx for parametric equations where x and y are functions of t.
x(t) y(t) dy/dxEvaluate the derivative at a specific x-value. Perfect for finding slopes.
f'(a) Point EvaluationStart with our Basic Derivative Calculator - it handles most common calculus problems!
Try Basic Calculator →