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WebConsider the function f (x, y) = x 2 y 2 f (x, y) = x 2 y 2 from Example 6.9. Figure 6.11 shows the level curves of this function overlaid on the function’s gradient vector field. … WebSep 7, 2024 · Let f be a function. The derivative function, denoted by f ′, is the function whose domain consists of those values of x such that the following limit exists: f ′ (x) = lim h → 0f(x + h) − f(x) h. A function f(x) is said to be differentiable at a if f ′ (a) exists. More generally, a function is said to be differentiable on S if it is ... high resolution images of paintings
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