Calculus Textbook Page Redraw: Tangent Lines and Linear Approximation AI Image Prompt

Use case: Scientific education image. Material type: High-definition vertical textbook page redraw. Main requirement: Redraw the Chinese calculus textbook page from the reference image into a clear, refined educational page. Keep the double-column structure, hierarchy, and layout, but redraw all content. Style: Modern Chinese university math textbook style. Clean white paper, clear printing, professional math formula typesetting, vector-like function graphs. Composition: Vertical page. Top left displays page number "{argument name="page number" default="214"}", top right displays chapter "{argument name="chapter name" default="Chapter 4 Applications of Derivatives"}". Main title in blue: "{argument name="title" default="4.3 Tangent Lines and Linear Approximation"}". Includes: introduction text, yellow definition boxes, function curves, green example boxes, and definite integral diagrams. Mathematical content must include tangent equations, linearization formulas, and example functions. Color scheme: Cobalt blue titles, light blue sidebars, light yellow definition boxes, mint green example boxes, and specific colors for function curves (blue) and tangents (red). Final result should look like a fresh, print-ready textbook page.