Practice Examples (4) - Tangents and Normals - IB 10 Mathematics

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6 sample questions

Question 1.
What is a tangent line?
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Think about how the line interacts with the curve.
Question 2.
How do you find the slope of a tangent?
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Remember, the slope is derived from dy/dx.
3Question 3.
What is the definition of a tangent line?
- Touches the curve at a point
- Crosses the curve at a point
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Think about how it interacts with the curve.
4Question 4.
Which formula is used to find the equation of a tangent line?
- y = mx + b
- y - y1 = m(x - x1)
- y = ax^2 + bx + c
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Remember how to use coordinates in the formula.
Question 5.
For the function y = e^x, find the tangent and normal line equations at x = 0.
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Calculate the derivative and evaluate at x = 0.
Question 6.
Determine the tangent and normal to y = x^4 at x = 1.
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Use derivatives to find the slopes and points.

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