What’s on the Derivative Rules poster
A 7-row table: Function · Derivative.
u and v are differentiable functions of x.
- Power: xⁿ — n xⁿ⁻¹
- Product: uv — u′v + uv′
- Quotient: u/v — (u′v − uv′)/v²
- Chain: f(g(x)) — f′(g(x)) g′(x)
- e^(kx) · ln x — k e^(kx) · 1/x
- sin x · cos x — cos x · −sin x
- tan x · arctan x — sec² x · 1/(1 + x²)
Differentiability implies continuity. The converse fails: |x| is continuous at 0 and has no derivative there.
Questions about the Derivative Rules poster
- What’s on the Derivative Rules poster?
- A 7-row table: Function · Derivative. u and v are differentiable functions of x. Power: xⁿ — n xⁿ⁻¹; Product: uv — u′v + uv′; Quotient: u/v — (u′v − uv′)/v²; Chain: f(g(x)) — f′(g(x)) g′(x); e^(kx) · ln x — k e^(kx) · 1/x; sin x · cos x — cos x · −sin x; tan x · arctan x — sec² x · 1/(1 + x²). Differentiability implies continuity. The converse fails: |x| is continuous at 0 and has no derivative there.
- Who is the Derivative Rules poster for?
- Derivative Rules belongs to the Mathematics section rather than to a school year, because math is not something one grade owns. Anyone learning calculus can pin it up — a beginner, a student mid-course, or someone revising years later.
- When should you use the Derivative Rules poster?
- Identify the outermost structure first, then apply the matching rule. A wall chart earns its place by being glanceable from where the work is happening, so Derivative Rules belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
- What other posters go with Derivative Rules?
- The Chain Rule, Fundamental Theorem and Implicit Differentiation sit alongside Derivative Rules in the Mathematics section. Printed together they make a wall rather than a single sheet, which is how a reference set actually gets used.The Chain RuleFundamental TheoremImplicit Differentiation
- Is the Derivative Rules poster free to download and print?
- Yes. Derivative Rules downloads as a free PDF with no account, no email and no watermark, like everything else in the Mathematics section. Print as many copies as you like for a home, a classroom, a library or a tutoring group; reselling the file is the only thing the licence rules out.Read the licence
- What size does the Derivative Rules poster print at?
- Derivative Rules is a vector PDF laid out for US Letter, and prints on A4 with Fit to page — the same file, no separate download. Because every mark on it is drawn rather than photographed, it stays sharp enlarged to A3, A2 or A1 at a copy shop. Colour carries emphasis only, so a greyscale print of Derivative Rules loses nothing.Printing guide
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