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

The derivative of sin x with respect to x is cos x. It is mathematically written as d/dx(sin x) (or) (sin x)' = cos x. Learn the derivative of sin x formula along with its proof using the first principle and graphical intuition.

回到题目中的例子，如果我们考虑 \\sin(dx) 作为一个微分形式的级数在一个闭区间上的定积分，那么 (dx)^{k}=0,\\,k\\geq2 ，因此积分化作对 dx 的积分。计算上和现有回答是一致的。

Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.

2019年3月28日 · 准确定义去看书，粗略的说dsinx大概就是sinx在一小段自变量（dx）的变化下所变化的值（有正负）

2020年5月6日 · $d\ \sin(x)=\cos(x)\ dx$ is an expression you might use during a $u-$ substitution in an integral. $\sin(dx)$ is the sine of a very small angle. Based on the Taylor series, $\sin(dx)=dx$.

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2025年1月5日 · \frac{d}{dx} sin(x) = cos(x) \frac{d}{dx} cos(x) = -sin(x) 两个重要的极限. 证明 \lim\limits_{\theta \to 0} \frac{\sin(\theta)}{\theta} = 1 借助 \lim\limits_{\theta \to 0} \frac{\sin(\theta)}{\theta} = 1 证明 \lim\limits_{\theta \to 0} \frac{1 - cos(\theta)}{\theta} = 0 sin(x) 求导过程 \frac{d}{dx} tan(x) = sec^2(x)

All derivatives of circular trigonometric functions can be found from those of sin(x) and cos(x) by means of the quotient rule applied to functions such as tan(x) = sin(x)/cos(x). Knowing these derivatives, the derivatives of the inverse trigonometric …