d(f(x))=f'(x)dx. 所以d(cos(x))=cos'(x)dx=-sin(x)dx. dy/dx是我们通常理解的导数，表示对y关于x求导，dx是由此引发的微分算子

Mostly, we memorize the derivative of cos x. An easy way to do that is knowing the fact that the derivative of cos x is negative of sin x and the derivative of sin x is the positive value of cos x. …

\frac{d}{dx}(\frac{3x+9}{2-x}) (\sin^2(\theta))' \sin(120) \lim _{x\to 0}(x\ln (x)) \int e^x\cos (x)dx \int_{0}^{\pi}\sin(x)dx \sum_{n=0}^{\infty}\frac{3}{2^n} Show More

cos(x) 的求导 带入「差商公式」： \displaystyle \frac{\mathrm{d}}{\mathrm{d}x}\cos x=\lim_{\Delta x\to0}\frac{\cos(x+\Delta x)-\cos x}{\Delta x}\\{}\\ =\lim_{\Delta x\to0}\frac{\cos x\cos\Delta x-\sin...

Use the well-known trigonometric indentity: cosxm −cosxn = 2sin(2xn−xm)sin(2xn+xm) According to the ... Since \sin (x) is an odd function, \sin (-x)=-\sin (x). In particular, \frac {d} {dx} [\cos (x …

2015年1月7日 · 对cosx求导后是－sinx然后对-sinx再求微分则为cosx 即∫d(cosx)=∫-sinx=cosx

2019年12月29日 · dsinx和cosxdx分别表示什么，dsinx=cosxdx这个等式的解释。 解：dx表示微分，也称作微元因为sinx的导数是cosx，dsinx相当于sinx对x微分，即d (sinx)= …

2014年11月25日 · 分析过程如下：-sinx=d (cosx)/dx 可得：d (cosx)=-sinxdx。 dx = - (1/sinx)dcosx扩展资料：商的导数公式： (u/v)'= [u*v^ (-1)]'=u' * [v^ (-1)

\sec x = \frac{1}{\cos{x}} \csc{x} = \frac{1}{\sin{x}} \cot{x} = \frac{1}{\tan{x}} 平方关系 \sin^{2}x + \cos^{2}x = 1. 1 + \tan^{2} x = \sec^{2}x. 1 + \cot^{2}x = \csc^{2}x. 商关系 \tan{x} = …

\(\dfrac{d}{dx}\big(\sin x\big)=\cos x\quad\text{and}\quad\dfrac{d}{dx}\big(\cos x\big)=−\sin x\). With these two formulas, we can determine the derivatives of all six basic trigonometric functions.