The derivative is \(2x\sin x - x^{2}\cos x\) 相关知识点: 试题来源: 解析 A。解析:对于函数\(y = uv\)(这里\(u = x^{2}\),\(v=\sin x\)),根据乘积法则\((uv)^\prime = u^\prime v+uv^\prime\)。\(u = x^{2}\)的导数\(u^\prime = 2x\),\(v=\sin x\)的导数\...
First, we need to understand the evaluation of a derivative using the definition of the derivative method for solving this problem: The differential coefficient of y with respect to x that is denoted by {eq}\displaystyle \frac{dy}{dx} {/eq}. The process of finding the derivative coefficient...
Answer to: What is the derivative of the absolute value of (sin x)? Why is that the derivative? By signing up, you'll get thousands of step-by-step...
View Solution The derivative oftan−1(2x1−x2)with respect to cos−1√1−x2is View Solution x2n View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium ...
Answer to: Find the derivative of y = 2x - \tan x. By signing up, you'll get thousands of step-by-step solutions to your homework questions. You...
For the expression or the function of the form with powers, we will apply the power rule of differentiation. Now it can be seen that the formula of the power rule is:ddx(xa)=a⋅xa−1, We have a contant term here asa. Answer and Explanation: ...
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The function f(x)=sin(2x) was used along with the graph of the derivative function. Th... SP Gordon - 《Mathematics & Computer Education》 被引量: 15发表: 2005年 Validity of the fractional Leibniz rule on a coarse-grained medium yields a modified fractional chain rule In this short ...
Teacher Notes Activity 14 Discovering the Derivative of the Sine and Cosine Functions Objective ♦ Students will discover the derivative of sin(x) and cos(x) by analyzing a scatterplot of x-values and the function's numerical derivatives at these x-values. Applicable TI InterActive! Functions ...
Finding the derivative of other powers of e can than be done by using the chain rule. For example e2x^2is a function of the form f(g(x)) where f(x) = exand g(x) = 2x2. The derivative following the chain rule then becomes 4x e2x^2. ...