Calculus/Cal 2·tangent-line-equation

Tangent Line Equation

Determine the equation of the tangent line to a specified curve at a given point.

Math animationCalculus/Cal 2 · tangent-line-equation

✓ All 2 test cases pass.

Inputs

Curve Function

The function representing the curve.

Point x-coordinate

The x-coordinate of the point where the tangent is evaluated.

Point y-coordinate

The y-coordinate of the point where the tangent is evaluated.

Test cases

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#	Inputs	Expected	Got	Status
1	{"curve_function":"ln(x^2 - 8x + 1)","point_x":8,"point_y":0}	8	8	✓
2	{"curve_function":"x^2 + 3","point_x":1,"point_y":4}	2	2	✓

APIDeveloper APICall this calculator from codeexpand ↓

Endpoint

POST/api/calculators/calculus-cal-2/tangent-line-equation/compute

Inputs (3)

curve_functionexpressiondefault "ln(x^2 - 8x + 1)"
point_xnumberdefault 8
point_ynumberdefault 0

Example

curl -sX POST http://localhost:3001/api/calculators/calculus-cal-2/tangent-line-equation/compute \
  -H "Content-Type: application/json" \
  -d '{"inputs":{"curve_function":"ln(x^2 - 8x + 1)","point_x":8,"point_y":0}}'

Try it live

Edit the body below, then click Call API.

Request body

Response

(click Call API to see the response)

full API docs →

Source: Pattern from: Calculus II Final Exam Review.pdf. Reproduces a standard tangent-line-equation computation; problem text paraphrased.

AI disclosure: Calculator code generated by openai/gpt-4o-mini-2024-07-18; verified by 2 test cases.