百度试题 结果1 题目Prove, from first principles,that the derivative of x3 is 3x2. 相关知识点: 试题来源: 解析 cu shi bai qin huan zhuang feng xuxuán 反馈 收藏
Prove that if f(x) = x^n then f'(x) = nx^{n - 1} using the definition of the derivative. Prove from the definition of the derivative: if the function f(x) is differentiable at x = 7 then the function g(x) = 5f(x) is differentiable at x = 7. Use the ...
Use the definition of derivative to calculate d/dx (1/x^2). Using definition calculate the derivative of \sqrt {4 - x} at x = 3. Using the definition, find the derivative of \sqrt {x^2 + 1}. Use the definition of the derivative to show that f' (0) ...
The well-known derivative ln(x) is one that students often find easy to memorize due to many real-life applications. Learn the step-by-step process used to solve the derivative and the application of the derivative of ln(x) using a real-world example. ...
Prove that : $$\lim_{x\to 0}\frac{tan^{-1}x}{x}<1$$ And $$\lim_{x\to 0}\frac{sin^{-1}x}{x}>1$$ Homework Equations None The Attempt at a Solution I have to prove that arctanx has to be lesser than x. It's derivative is 1 at x=0 and keeps decreasing as x inc...
As multivariate calibrations using Vis-NIR data are often improved using the derivative of the spectra rather than the spectra itself, Vis-NIR data from the Local dataset were analysed both as raw absorbance spectra and as the first derivative of the spectra. The first derivative was calculated ...
To prove that the derivative of f(x)=tan−1(√1+x2−1x) with respect to g(x)=tan−1(x) is independent of x, we will follow these steps: Step 1: Define the functionsLet:- f(x)=tan−1(√1+x2−1x)- g(x)=tan−1(x) Step 2: Simplify f(x)We start by simplify...
Wigington adds that the California drought situation is “far beyond dire.” As he said in the interview, the state is down more than 250 inches of rain. He says it is amazing to him how people can “keep their heads in the sand, but they’re not going to be able to do that much...
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Find the value of f(1) so that the functionf(x)=(3√x2−(2x1/3−1))4(x−1)2,x≠1is continuous at x=1. Which of the following functions are even, and which are odd : (a)f(x)=3√(1−x)2+3√(1+x)2,