The Derivative Calculator is designed to provide quick and accurate derivatives for any algebraic function by entering the coefficient and power of x separately. It’s a user-friendly tool for students, teachers, and anyone interested in mathematics.
Derivative Calculator: Instant Function Derivations
Use ^ for powers and standard names: sin, cos, tan, asin, acos, atan, sinh, cosh, tanh, exp, ln, log10, sqrt, abs.
Symbolic Derivative
Simplified Form
Value at the Point
Tangent Line
This line touches the curve at the chosen point and shares the same instantaneous rate of change.
How to Use the Calculator
- Input the Coefficient: Enter the coefficient of x (e.g., 3 for 3x²) in the ‘Coefficient’ field.
- Input the Power of x: Specify the power to which x is raised in the ‘Power of x’ field.
- Set the Value of x: Determine the x value at which you wish to evaluate the derivative.
- Calculate: Press the “Calculate” button to obtain the derivative.
Formula Used
The calculator uses the power rule of differentiation, expressed as: derivative of ax^n = n*ax^(n-1). Simply input the values of ‘a’ (coefficient) and ‘n’ (power) to find the derivative.
Examples
- For 3x² at x=1: Enter 3 in coefficient, 2 in power, and 1 in x value to get 6 as the output.
- For 4x³ at x=2: Enter 4 in coefficient, 3 in power, and 2 in x value to get 48 as the output.
- For 5x⁴ at x=0: Enter 5 in coefficient, 4 in power, and 0 in x value to get 0 as the output.
Additional Information
This calculator simplifies derivative calculations by breaking down the function into its basic components. It’s designed for educational purposes and should be used as a guide for learning and verifying derivative computations. Ensure your inputs are correct for accurate results.
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