cos(x)−sin(x) tan(x)sec2(x) Inverse Trigonometrysin-1(x)1/√(1−x2) cos-1(x)−1/√(1−x2) tan-1(x)1/(1+x2) RulesFunction Derivative Multiplication by constantcfcf’ Power Rulexnnxn−1 Sum Rulef + gf’ + g’ ...
The derivative of tan xd dx tan x = sec2x Now, tan x = sin x cos x . (Topic 20 of Trigonometry.)Therefore according to the quotient rule:d dx tan x = d dx sin x cos x = cos x· cos x − sin x(−sin x) cos2x = cos2x + sin2x cos2x = 1 cos2x = sec2x....
百度试题 结果1 题目The derivative of y = sin(x) is ___. A. cos(x) B. -cos(x) C. sin(x) D. -sin(x) 相关知识点: 试题来源: 解析 A。根据求导公式,sin(x)的导数是 cos(x)。选项 B、C、D 都不符合。反馈 收藏
cos x sin x Derivative f’ of the function f(x)=sinx is: f’(x) = cos x for any value of x. Derivative of sin x Derivativef′of the functionf(x)=sinxis:∀x∈]−∞,+∞[,f′(x)=cosx Proof/Demonstration sin(x+h)−sinxh=sin(x)cos(h)+cos...
* 一阶导数:dy/dx = cos x * 二阶导数:d2y/dx2 = -sin x 也就是说,y=sin x 的一阶导数是cos x,而二阶导数是-sin x。这个例子告诉我们,函数 y=sin x 在 x=0 时的梯度是1,而在 x>0 时,梯度是正的,在 x<0 时,梯度是负的。
Derivative $f’$ of the function $f(x)=\sin x$ is: \(\forall x \in ]-\infty, +\infty[ , f'(x) = \cos x\) Proof/Demonstration \[\begin{aligned} \frac{\sin (x+h)-\sin x}{h}&= \frac{\sin (x) \cos (h)+\cos (x) \sin (h)-\sin x}{h} \\ \frac{\sin (x...
−(sin1(x)sin(x))+cos(x)ddx[sin(x)]-(sin1(x)sin(x))+cos(x)ddx[sin(x)] Raisesin(x)sin(x)to thepowerof11. −(sin1(x)sin1(x))+cos(x)ddx[sin(x)]-(sin1(x)sin1(x))+cos(x)ddx[sin(x)] Use thepower ruleaman=am+naman=am+ntocombineexponents. ...
sin’(x) = cos x This, finally, tells us that the derivative of sin x is simply cos x. The Derivative of the Cosine Function Similarly, we can calculate the derivative of the cosine function by re-using the knowledge that we have gained in finding the derivative of the sine function....
Solution Share Step 1 Given y=1+sin(X)cos(X) Derivative with respect X on both sides dydx=ddx(1+sin(X)cos(X)) Explanation: The above derivative is in the form ofView the full answer Step 2 Unlock Step 3 Unlock Answer UnlockPrevious question Next questionNot...
syms y(x) f = y*sin(y); G = functionalDerivative(f,y) G(x) = sin(y(x))+cos(y(x)) y(x) Functional Derivative with Respect to Two Functions Copy Code Copy Command Find the functional derivative of the functional S[u,v]=∫ab(u2(x)dv(x)dx+v(x)d2u(x)dx2)dx with resp...