1) The graph below shows the first derivative of a function y = f(x). Sketch point P. OP

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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**Transcription of Educational Content:**

1) The graph below shows the first derivative of a function \( y = f(x) \). Sketch a possible graph of \( f \) that passes through the point P.

**Graph Description:**
- The graph represents the first derivative \( f'(x) \) of a function.
- It is a parabola opening upwards.
- The graph passes through the origin, indicating that \( f'(x) = 0 \) at this point.
- Axes are labeled with \( y \) (vertical axis) and \( x \) (horizontal axis).
- The point P is marked at the origin on the \( y \)-axis.
Transcribed Image Text:**Transcription of Educational Content:** 1) The graph below shows the first derivative of a function \( y = f(x) \). Sketch a possible graph of \( f \) that passes through the point P. **Graph Description:** - The graph represents the first derivative \( f'(x) \) of a function. - It is a parabola opening upwards. - The graph passes through the origin, indicating that \( f'(x) = 0 \) at this point. - Axes are labeled with \( y \) (vertical axis) and \( x \) (horizontal axis). - The point P is marked at the origin on the \( y \)-axis.
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