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The derivative of the dot product "distributes" over each vector Drawing : I draw a diagram explaining the situation to the right. The vectors ##\mathbf{A}## and ##\mathbf{B}## are drawn at some time ##t## making an angle ##\theta## between them. At some later time ##t+dt#...
Answer to: Find the derivative: y = \frac{\cos\theta}{1 + \sin^{2}\theta} By signing up, you'll get thousands of step-by-step solutions to your...
Answer to: Find the derivative of these equations. A) f(theta) = (e^(theta) + e - theta)^(-1) B) f(theta) = (theta)^3 cos(theta) C) f(t) =...
【题目】Find the derivative of the function.【题目】 相关知识点: 试题来源: 解析 【解析】 \$- 2 ^ { - \theta } [ ( \ln 2 ) \cos \pi \theta + \pi \sin \pi \theta ]\$ 结果一 题目 【题目】 Find the derivativ eo fth efunction.y=√x+√x 答案 【解析】 x一 结果二 题目 ...
I Derivative of the retarded vector potential In a problem of an oscillating electric dipole, under appropriate conditions, one can find, for the potential vector calculated at the point ##\vec{r}##, the expression ##\vec{A}=\hat{k}\frac{\mu_0I_0d}{4\pi}\frac{cos(\omega(t-r/...
The quotient rule can be used for differentiation when taking the derivative of a function divided by another function. Gain a better understanding of when to use the quotient rule and explore some examples in this lesson. Related to this Question ...
By Chain rule the differentiation of {eq}sin(nx) {/eq} is given by - {eq}\frac{d}{dx} sin(nx) = n \cdot cos(nx) \\ \frac{d}{dx} sin^{-1}x = \frac {1}{\sqrt{1-x^2} } {/eq} Answer and Explanation: {eq}F(\theta )=sin^{-1}\sqrt{sin...
One of the core concepts of contemporary control theory is the idea that a dynamical system can be controlled. Several abstract settings have been developed to describe the distributed control systems in a domain in which the control is acted through the boundary. In this manuscript, we investigat...
Shen, L. C.: On the logarithmic derivative of a theta function and a fundamental identity of Ramanujan. J. Math. Anal. Appl., 177, 299-307 (1993)L.-C. Shen, On the logarithmic derivative of a theta function and a fundamental identity of Ramanujan, J. Math. Anal. Applics. 177 (...