Find the derivatives of the function x tan ^(-1) x 01:50 Find the derivative of the function sin x (tan ^(-1) x) ^(2) 01:57 Find the derivative of the function sin ^(2) x (sin ^(-1) x ) ^(2) 02:34 Find the derivatives of the function (x sin ^(-1) x )/( sqrt...
https://socratic.org/questions/what-is-the-derivative-of-tan-1-x-2-y-5 Tiago Hands Apr 23, 2015 Say that y=arctan(x2y5) and let's find dxdy . ... How do you differentiate y=tan−1(3x) ? https://socratic.org/questions/how-do-you-differentiate-y-tan-1-3x =9x2+13 Explanat...
Derivative of tan x Derivative $f’$ of the function $f(x)=\tan x$ is: \(\forall x \neq \frac{\pi}{2}+k\pi, k \in \mathbb{Z}, f'(x) = 1+\tan ^{2} x\) Proof First we have: \((\tan x)' =\lim _{h \rightarrow 0} \dfrac{\tan (x+h) - \tan x }{h}\)...
arctan(-x) = - arctan x Arctan sum arctan α + arctan β = arctan [(α+β) / (1-αβ)] Arctan difference arctan α - arctan β = arctan [(α-β) / (1+αβ)] Sine of arctangent Cosine of arctangent Reciprocal argument Arctan from arcsin Derivative of arctan Indefi...
Find the derivative. xtan−1(x2)+ln(sinh(x)) Using Product Rule to Find the Derivative of a Given Function Given a function of the form f(x)=g(x)h(x), the derivative can be found by using the product rule. The product rule states: f′(x)=g(x)h′(x)+g′...
Derivative of tangent function$g(x)=\tan x$ is: \(\forall x \neq \dfrac{\pi}{2}+k\pi, k \in \mathbb{Z}, \quad g'(x) = 1+\tan ^{2} x\) So, we have: \[\begin{aligned} f^{\prime}(x)&=\frac{1}{\tan^{\prime}(f(x))}\\ &=\frac{1}{1+\tan^2(f(x))}\...
Find the derivative of y with respect to x, if y=xtan−1(x2). Derivative of Inverse Tangent The derivative of the inverse tangent function, y=tan−1x, is equal to 11+x2. This relationship can be derived by implicitly differentiating the equation tany=x...
To prove that the derivative of f(x)=tan−1(√1+x2−1x) with respect to g(x)=tan−1(x) is independent of x, we will follow these steps: Step 1: Define the functionsLet:- f(x)=tan−1(√1+x2−1x)- g(x)=tan−1(x) Step 2: Simplify f(x)We start by simplify...
Derivative function: Enter an original function (that is, the function to be derived), then set the variable to be derived and the order of the derivative, and click the "Next" button to obtain the derivative function of the corresponding order of the function. ...
结果1 结果2 结果3 题目tan(x) 反导数∫tan(x) ( Anti derivative) 相关知识点: 试题来源: 解析 反导数就是积分:antiderivative = integration∫tanxdx=∫(sinx/cosx)dx=∫-dcosx/cosx= -ln|cosx| + C结果一 题目 tan(x) 反导数∫tan(x) ( Anti derivative) 答案 反导数就是积分:antiderivative = ...