A. cos(x) B. -cos(x) C. sin(x) D. -sin(x) 相关知识点: 试题来源: 解析 A。sin(x)的导数是 cos(x)。选项 B“-cos(x)”错误,sin(x)的导数不是-cos(x)。选项 C“sin(x)”错误,不是它本身。选项 D“-sin(x)”错误,不是-sin(x)。反馈 收藏 ...
Derivative f’ of the function f(x)=sinx is: f’(x) = cos x for any value of x.Derivative of sin xDerivative f′ of the function f(x)=sinx is: ∀x∈]−∞,+∞[,f′(x)=cosxProof/Demonstrationsin(x+h)−sinxh=sin(x)cos(h)+cos(x)sin(h...
Derivative of sin x 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} ...
THE DERIVATIVE of sin x is cos x. To prove that, we will use the following identity:sin A − sin B = 2 cos ½(A + B) sin ½(A − B).(Topic 20 of Trigonometry.)Problem 1. Use that identity to show:sin (x + h) − sin x = ...
Compute the derivative of 6x^(100)-x^(55)+x. 01:23 Find the derivative of f(x) =1+x+x^2+x^3+...+x^(50)at x = 1. 02:22 Find the derivative of f(x) =(x+1)/x. 01:38 Compute the derivative of sin x by first principle. 03:54 Compute the derivative of tan x. 04:...
Derivative Proof of sin(x) We can prove the derivative of sin(x) using the limit definition and the double angle formula for trigonometric functions.
Find the derivative ofy=sinx4. View Solution Free Ncert Solutions English Medium NCERT Solutions NCERT Solutions for Class 12 English Medium NCERT Solutions for Class 11 English Medium NCERT Solutions for Class 10 English Medium NCERT Solutions for Class 9 English Medium ...
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\(v^\prime=\cos x\),所以\(y^\prime = 2x\sin x+x^{2}\cos x\)。选项B中符...
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dxd(xln(sin(x)))=ln(sin(x))+xcot(x) =exln(sin(x))(ln(sin(x))+xcot(x)) exln(sin(x))=sinx(x) =sinx(x)(ln(sin(x))+xcot(x)) Graph Plotting:y=sinx(x)(ln(sin(x))+xcot(x)) Sorry, your browser does not support this application ...