š Tangent Line Calculator
Find the equation of a tangent line at any point on a curve
f(x) = 1xĀ² + 0x + 0
Tangent Line Formulas
Point-Slope Form
Where m = f'(xā) is the slope (derivative at the point)
Common Derivatives
About Tangent Line Calculator - Find Slope & Equation
Find the tangent line equation at any point on a curve. Calculate slope, y-intercept, and normal line for various functions.
Our **Tangent Line Calculator** finds the equation of the tangent line at any point on a curve using derivatives. Simply select your function type, enter coefficients, and specify the x-value. Get the slope, y-intercept, and complete line equation. For complex number calculus, see our Imaginary Number Calculator.
The tangent line touches a curve at exactly one point and has the same slope as the curve at that point. This slope equals the derivative f'(x) evaluated at the point. Understanding tangent lines is fundamental for rates of change, optimization, and linear approximation. Try our Logarithm Calculator for function analysis.
Beyond the tangent line, our calculator also provides the normal line (perpendicular to tangent) and point coordinates. Supports quadratic, cubic, trigonometric, exponential, and logarithmic functions. Essential for calculus students and engineers analyzing curves. For ideal gas calculations, see our Ideal Gas Law Calculator.
Key Features
Why Use This Tool?
Common Use Cases
Calculus Education: Learn about derivatives and tangent lines.
Physics: Find instantaneous velocity from position functions.
Engineering: Linear approximation near a point.
Optimization: Identify rate of change at specific values.
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How to Use
Select function type (quadratic, sin, exp, etc.)
Enter function coefficients
Enter the x-value for the tangent point
Click Calculate
View tangent line equation, slope, and normal line