Let f be a one-one function satisfying f'(x)=f(x) then (f^-1)''(x) is ... 01:52 Differentiate sec^-1""(1)/(2x^2-1) with respect to sqrt(1-x^2) 01:41 The derivative of sec^(-1)((1)/(2x^(2)-1)) with respect to sqrt(1-x^(2... 03:15 The derivative of se...
Differentiate sec−1(12x2−1), 0<x<1√2 with respect to x Video Solution Text SolutionVerified by Experts Given that,y=sec−1(12x2−1)0<x<1√2x=cosθso, y=sec−1(12cos2θ−1)⇒y=sec−1(1cos2θ)⇒y=sec−1(sec2θ)0<x<1√2⇒0<cosθ<1√2⇒π4<θ...
y'= There are 3 steps to solve this one. Solution Share Step 1 Differentiate both sides of the equation. ddx(y)=ddx(sec(x)tan(x)) The derivative of y with respect to x is y′ .View the full answer Step 2 Unlock Step 3 Unlock Answer UnlockPrevious question Next questionNot...
Function:g(x)=sec(x)cot(x) Let us differentiate the function with respect to... Learn more about this topic: Trigonometric Functions | Definition, Formula & Examples from Chapter 3/ Lesson 6 322K What are trigonometric functions? Learn more about all 6 trig functions, which formul...
Answer to: Differentiate: A) y = (1/2)tan^(-1)(x) + (x)/2(x^2 + 1) B) f(x) = (arctan x)/(1 + x^2) By signing up, you'll get thousands of...
1.基本初等函数的导数 常见的基本初等函数的导数如下: - cos(x) 的导数为 -sin(x) - sin(x) 的导数为 cos(x) - tan(x) 的导数为 sec^2(x) - log(x) 的导数为 1/x - e^x 的导数为 e^x - ax 的导数为 a 2.复合函数的导数 复合函数的导数遵循链式法则,即外函数的导数乘以内函数的导数。
dln(p(x)−q(x))dx=dln(p(x)−q(x))d(p(x)−q(x))⋅d(p(x)−q(x))dxd(p(x)−q(x))dx=p′(x)−q′(x) Answer and Explanation:1 Given logarithm: The natural logarithm with trionoemtruc function is: ...
Differentiate: g(x) = \tan x \sec x Differentiate y = 6 \sec (5x). Differentiate: f(t) = cos 5t sec 5t. Differentiate \frac{1 - \sec x}{\tan x} = \frac{\sec x(-\tan^{2}x + \sec^{2}x)}{(\tan x)^{2. Differentiate the following: y = sec ( e^\sqrt{tan(...
Let y=tan^(-1)((sqrt(1+x^(2))+1)/(x)). Putting x=tan theta, we get y=tan^(-1)((sec theta+1)/(tan theta))=tan^(-1)((1+costheta)/(sin theta)) =tan^(-1){(2cos^(2)(theta//2))/(2sin(theta//2)cos(theta//2))}=tan^(-1){cot.(theta)/(2)} =tan^(-1)...
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