试题来源: 解析 let fixi-tans f(x+h)=tan(x+h) From the dffnition, f'(x)=ln((1/n))-(f(x+h)-f(x))/h = tanuthi-canky lìn h~0 h 、二 h sinh 二 ? ()) 1)()[()=1 s, f'(x)=tanx,f'(x)=sin^2x 反馈 收藏 ...
What is the derivative of ln(sinh x)? What is the derivative of this in calculus? g (x) = \frac {(2x+1)^7(x-2)^4}{cos^2 x \sqrt {2x-1 What is the derivative of this function? g(x) = -500/x, x is not equal to 0. ...
y = 2xsinh^{-1}(2x) - \sqrt{1 + 4x^2} Find the following derivative. h(x) = x^2coth^{-1}x Find the following derivative \frac{d}{dx} ((x^{8}+8)ln(x)) Find the derivative of \frac{t^{\frac{1}{2}{(t-1)^{\frac{1}{2}. Find the derivative of the function y=...
Find the derivative of 2\sinh 3x + \sec 4x Find the derivative of sec x Find the derivative of sec (arctan (x^2)). Find the derivatives of the following functions: 1) y = theta (sin (ln theta) + cos (ln theta)) 2) ln xy = e(x+y) ...
Find the derivative ofy=sec(x). Identities and Trigonometric Derivatives: To differentiate a trigonometric function, it is sometimes necessary to redefine it before applying the differentiation theorems. To redefine a trigonometric function, we can use the following identities: ...
I am writing some automatic differentiation routines for Taylor series, and would like to verify my results for the value and first six derivatives of ##sinh## and ##cosh## evaluated at ##\pi /3##, and also ##tanh##, and ##sec^2##, evaluated at ##\pi / 4##. I have attempte...
Mathematics/Statistics Tutor See tutors like this Definition: Derivative of the function y=f(x) at the point x0 is defined as f'(x0)=limh→0(f(x0+h)-f(x0))/h. This is general definitio and x0 is arbitrary point from D(f). ...
(zT2 + zt2) coth γ√zT zt 2σ2 sinh γ 2 (T − t) γ 2 (T − t) Iµ 2σ2 zT sinh zt γ 2 γ (T − t) ea2b(T −t)/σ2 , 18 (C1) with Iµ(x) the modified Bessel function of index µ, γ = a2 + 2σ2, (C2) and µ = ...
What Is the Correct Derivative of Log(cosh(x-1))? Homework Statement f(x) = Log(cosh(x-1)), find f'(x). Homework EquationsThe Attempt at a Solution f'(x) = [1/cosh(x) - 1] * d/dx [cosh(x) - 1], => f'(x) = sinh(x) / [cosh(x) - 1] Although, my marking sch...
What is the derivative of ln(x+9)? What is the derivative of y = (e^(-x^2))(ln(tan x))? What is the derivative of ln(sinh x)? What is the derivative of y^2(6-2x)? What is the derivative of x^{\sin(\frac{\pi}{4})}?