Partial DerivativesGradients, directional derivatives and what they tell you geometrically.MathematicsCalculus in more than one variable.The objects∂f/∂x — vary x, hold every other fixed∇f = (∂f/∂x, ∂f/∂y), the gradientDirectional: ∇f · u, with u a unit vectorHessian — the matrix of second partialsJacobian — the matrix of first partialsWhat they tell you∇f points along the steepest ascent|∇f| is that steepest rate of change∇f = 0 at every critical point∇f is normal to the level curve f = cMixed partials agree if both are continuousClairaut's theorem: the two mixed second partials are equal wheneverboth are continuous near the point.Partial Derivativeslearnposters.com
Partial Derivatives — printable math wall chart from LearnPosters. Free vector PDF, US Letter and A4.

What’s on the Partial Derivatives poster

10 entries in 2 groups.

Calculus in more than one variable.

Clairaut's theorem: the two mixed second partials are equal whenever both are continuous near the point.

Questions about the Partial Derivatives poster

What’s on the Partial Derivatives poster?
10 entries in 2 groups. Calculus in more than one variable. The objects: ∂f/∂x — vary x, hold every other fixed, ∇f = (∂f/∂x, ∂f/∂y), the gradien…; What they tell you: ∇f points along the steepest ascent, |∇f| is that steepest rate o…. Clairaut's theorem: the two mixed second partials are equal whenever both are continuous near the point.
Who is the Partial Derivatives poster for?
Partial Derivatives 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 Partial Derivatives poster?
Any time a function has more than one input and you need its rate of change. A wall chart earns its place by being glanceable from where the work is happening, so Partial Derivatives belongs on the wall where that math work actually happens, within glancing distance, rather than filed away.
What other posters go with Partial Derivatives?
The Chain Rule, Derivative Rules and Fundamental Theorem sit alongside Partial Derivatives 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 RuleDerivative RulesFundamental Theorem
Is the Partial Derivatives poster free to download and print?
Yes. Partial Derivatives 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 Partial Derivatives poster print at?
Partial Derivatives 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 Partial Derivatives loses nothing.Printing guide

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