Free derivative calculator - differentiate functions with all the steps. Type in any function derivative to get the solution, steps and graph.

使用倍角公式消去平方： \begin{aligned} \int cos^2x~dx&=\int \frac{1+cos2x}{2}~dt\\ &=\int \frac{1}{2}+\frac{cos2x}{2}~dt \\&=\frac{1}{2}x+\frac{1}{4}sin2x+C \end{aligned}\\ \\ sin^2x

Upon inspection, the graph of D(x) appears to be very close to the graph of the cosine function. Indeed, we will show that. d dx(sinx) = cosx. If we were to follow the same steps to approximate the derivative of the cosine function, we would find that. d …

cos(x)的导数可以通过求导法则来计算。以下是求解过程： 使用导数公式：(d/dx)cos(x) = -sin(x) 证明过程： 我们使用定义法证明，即利用极限的定义来证明。 根据导数的定义，cos(x)的导数可以定义为： (d/dx)cos(x) = lim(h->0) [cos(x+h) - cos(x)] / h 现在我们将右侧的极限进行 ...

cos(π+a) = -cos(a) tgA=tanA = sinA/cosA . 万能公式. sin(a) = [2tan(a/2)] / {1+[tan(a/2)]²} cos(a) = {1-[tan(a/2)]^2} / {1+[tan(a/2)]²} tan(a) = [2tan(a/2)]/{1-[tan(a/2)]^2} 其它公式 . a•sin(a)+b•cos(a) = [√(a²+b²)]*sin(a+c) [其中，tan(c)=b/a] a•sin(a)-b•cos(a) = [√(a²+b²)]*cos(a-c) [其中，tan(c)=a/b]

\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

Derivative of cos x. What is the specific formula for the derivative of the function cos x? This calculation is very similar to that of the derivative of sin(x). If you get stuck on a step here it may help to go back and review the corresponding step there. = 1. (B) = −sin(x).

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

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Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…