log(cosh(x)-1) is not the same as log(cosh(x-1)). The argument of cosh is x in the original problem, you wrote(x-1). You made errors with the parentheses in the solution. Somehow you wrote the correct derivative, but the marking scheme is not correct.May...
cosh-1x Inverse hyperbolic tangent tanh-1x Derivative examples Example #1 f(x) =x3+5x2+x+8 f '(x) = 3x2+2⋅5x+1+0 = 3x2+10x+1 Example #2 f(x) = sin(3x2) When applying the chain rule: f '(x) = cos(3x2) ⋅ [3x2]' = cos(3x2) ⋅ 6x ...
Find the derivative of the following: y = cosh^{(-1)} (\sqrt{x}). Find the derivative of the following . f(x)=\frac {x^2-4x}{x+9} Find the derivative of the following: r(x) = (x^(1/3) - (1)/(x^(1/3)))^2 ...
•cosh(x)—hyperbolic cosine •tanh(x)—hyperbolic tangent •coth(x)—hyperbolic cotangent •sech(x)—hyperbolic secant •csch(x)—hyperbolic cosecant •arsinh(x)—inverse hyperbolic sine •arcosh(x)—inverse hyperbolic cosine
百度试题 结果1 题目s the derivative of17wā2014C A.cos^(-1)x B.sin^(-1) x C.cosh-x Dsinh-' x 相关知识点: 试题来源: 解析 C 反馈 收藏
Find the derivative. y = log_{2} cosh(3x) Find the derivative given that : f(x) = \sqrt{cos(x^2) + 3x^4} Find the derivative of y = x*tanh^(-1)(x) + ln(sqrt(1 - x^2)). Find the derivative of f(x) = (x*tan x)/(1 + x). ...
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}... Learn more about this topic: What is the Derivative of 1/cos(x)?
Find the derivative of the function f (x) = x^2 cosh^-1 (4 x). Find the derivative of the function. F(x) = \int_x^5 \tan(t^3)dt Find the derivative of the function. f(t) = \frac {1 - 6t}{1 + 4t} f ' (t) = Find the de...
In order to find a closed expression, we make use of the following resummation formulas for C > 0 (see 18 e.g. the appendix in =-=[48]-=- for more general cases), 4 ∞∑ j=1 cos(θj) j2 + C2 = − 2 C2 + 2pi C cosh((pi − θ)C) sinh(piC) , ∞∑ j=1 1 ...
The first derivative of this type of trigonometric function will be simplified using the chain rule of derivatives and the common derivative of the inverse hyperbolic cosine function. {eq}\begin{align*} \frac{\mathrm{d} \cosh^{-1}(k(x))}{\mathrm{d} x}&=\frac{\m...