( y=(sin)(x)(cos)(x)) 相关知识点: 试题来源: 解析 Differentiate both sides of the equation.( d/(d?)(y)=d/(d?)((sin)(x)(cos)(x)))The derivative of ( y) with respect to ( ?) is ( y()' ).( y()' )Since ( (sin)(x)(cos)(x)) is constant with respect to ( ?
y=lncosx的导数是-tanx。导数（Derivative），也叫导函数值。又名微商，是微积分中的重要基础概念。当函数y=f（x）的自变量x在一点x0上产生一个增量Δx时，函数输出值的增量Δy与自变量增量Δx的比值在Δx趋于0时的极限a如果存在，a即为在x0处的导数，记作f’（x0）或df（x0）/dx。导数是...
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To compute the derivative of a trigonometric function, we use the common derivatives such asddx(sinx)=cosx,ddx(cosx)=−sinx. Answer and Explanation:1 We are given: y(x)=sinx+cosx Take the derivative with respect t...
tanx=sinxcosx cotx=cosxsinx 3)cscx=1sinx,among others. Answer and Explanation:1 Let us find the derivative ofy=sec(x). Let's redefine the function as a function of cosine. Thus we have {eq}y = \dfrac{1}{\cos x}... ...
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\...
导数（Derivative）是微积分中的重要基础概念。当自变量的增量趋于零时，因变量的增量与自变量的增量之商的极限。在一个函数存在导数时，称这个函数可导或者可微分。可导的函数一定连续。不连续的函数一定不可导。导数实质上就是一个求极限的过程，导数的四则运算法则来源于极限的四则运算法则。y'=10^x*...
derivative,导数的英文单词 一条弯弯扭扭的曲线,局部放大了看就趋近于一条直线。一个可导的函数就能描述这样一条曲线。一个函数可导告诉我们它的局部是线性的。这对于像y=f(x) 这种一元函数来说非常容易理解。在某一点(x=x0)(不支持上下标,对数学公式不太友好,请见谅)邻域,y的增量与x的增量关系近似为线性关系...
y=(sin(x)−cos(x))2 Differentiate using the chain rule, where f(x)=x2 and g(x)=sin(x)−cos(x). 2(sin(x)−cos(x))ddx[sin(x)−cos(x)] By the Sum Rule, the derivative of sin(x)−cos(x) with ...View the full ...
If y=(secx+tanx-1)/(tanx-secx+1) , find ((dy)/(dx)])(x=pi//4) 04:28 If y=(x^3+x^2+x)/(1+x^2) , find (dy)/(dx) . 02:35 Find derivative of y=s in^3sqrt(x) 02:00 Find derivative of y=ln(secx) 01:25 Find derivative cos(lnx) 01:30 Find derivative of y...