Derivative Calculator

Calculate the derivative of polynomial, trigonometric, exponential, and logarithmic functions at any point.

Function Type

Coefficient (c)

Exponent/Parameter (n)

x Value

Tab to move between fields

f'(x)

Slope at Point6

Tangent y-intercept-4

How to Use This Calculator

Select the Function Type: Polynomial (c·xⁿ), Trigonometric (c·sin(xⁿ)), Exponential (c·eⁿˣ), or Logarithmic (c·n·ln(x)).
Enter the Coefficient (c) and Exponent/Parameter (n) that define the function.
Enter the x Value at which to evaluate the derivative — this is the point of tangency.
The derivative f'(x) represents the instantaneous rate of change (slope of the tangent) at the entered x value.
Tangent y-intercept completes the tangent line equation: y = f'(x₀)·x + b.
The chart plots f(x) and the tangent line near x₀ to visually confirm the slope.

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