A。解析:首先求一阶导数,设\(u = x^{2}\),\(y = e^{u}\),根据复合函数求导法则\(y^\prime=e^{u}\times u^\prime\),\(u^\prime = 2x\),所以\(y^\prime = 2xe^{x^{2}}\)。再求二阶导数,\(y^{\prime\prime}=2e^{x^{2}}+2x\times2xe^{x^{2}}=2e^{x^{2}}(2x^{...
What is the second derivative of {eq}tanh \ (cy) {/eq} Definition and Properties of Derivatives: Considering any function {eq}y=f(x) {/eq} of one variable. Then the derivative of the function with respect to {eq}x {/eq} at any point {eq}x=a {/eq} is given by: ...
This article describes a classroom discussion that is designed to be used as a supplement to the presentation in the text. This supplement serves not only as a means of broadening the student''s understanding of the possible behavior of functions when the second derivative is zero, but also ...
1) Find the numbers that cancel the second derivative. 2) Determine if the numbers that cancel the second derivative of the function, belong to its domain. 3) Study the concavity intervals. 4) In the numbers where there is a...
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At what points, if any, does the function assume local maximum values?Local Maximum:The derivative of the function is given, making it easy to find the critical points by just equating the derivative to zero. We shall then apply th...
but is not limited to, the unboxing and review, display, introduction, transformation and production process of commercial or homemade garage kit. Also includes, but not limited to, stop-motion animation, popularization of technique and other derivative creative content with garage kit as the back...
The basic question in an options trade is: What will a stock be worth at some future date? Buying a call option is a bet on “more.” Selling a call option is a bet on “same or less.” What is a call option? Options are a type of financial instrument known as a derivative beca...
But what the heck is this “dielectric constant” thing? Excellent question; it’s essentially a property of materials describing their ability to become electrically polarized in the presence of an applied electric field, through any of a number of mechanisms. These mechanisms might be at an ...
Definition 5 (Building metrics out of test functions) Let be a topological group, and let be a bounded non-negative function. Then we define the pseudometric by the formula and the semi-norm by the formula Note that one can also write where is the “derivative” of in the direction...