// Numbas version: exam_results_page_options {"name": "Differentiation: Equation of tangent. Quadratic", "extensions": ["jsxgraph"], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"tags": [], "statement": "
This is a calculator question.
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\nIf you're unsure on equation of straight lines, go to Week 4 of Maths 1. Look at the lectures, workshops and/or CLEs.
\n\n(a) Similar questions are in Lecture 9.4 and Workshop 9.5.
\n\n(b) There is not an example like (b) in the lectures or workshops. You will have to think for yourself. Some hints:
\n-- What does the information provided tell us about the gradient of the line.
\n-- Once you know the gradient of the line, you have to find the appropriate value of $x$ which achieves this gradient.
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\n{plot(a,b,c,x, fx)}
\nIn addition, the tangent to the curve at $x=\\var{x}$ has been drawn.
\n(a) What is the equation of the tangent? $y= $ [[0]]
\n\n(b) $L$ is a horizontal straight line which is tangent to the curve. Determine the coordinates of where the line $L$ touches the curve.
\n[[1]]
\n", "customMarkingAlgorithm": "", "unitTests": []}], "metadata": {"licence": "Creative Commons Attribution 4.0 International", "description": "A quadratic is and a graph of it is given. A tangent is also sketch. The equation of the tangent line is asked for.
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