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 ...
•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
Answer to: Derivative y= \frac {(1+cosh)}{(1-cosh)} By signing up, you'll get thousands of step-by-step solutions to your homework questions. You...
Find the derivative of the following: \dfrac{d}{dx} \: x. Find the derivative of the following: y = cosh^{(-1)} (\sqrt{x}). Find the derivative of the following: h(x) = \sqrt{1+ln(x)}. Find the derivative of the following. 1. f(\theta) = 2 ...
–COSH 32.6 –COSCH3 30.2 –COCOCH3 23.2 –COCl 33.6 –CN 1.7 –SC8H17 15.5 –SPh 15.6 –SSCH3 22.0 –SOCH3 40.1 –SO2CH3 42.6 Source: Reproduced from Pretsch E, Simon W, Seibl J, and Clerc T (1989) Spectral Data for Structure Determination of Organic Compounds, 2nd edn. Berlin:...
Find the derivative of y = ln (cosh x) - 1 / 2 tanh^2 x at x = ln 3.Explore our homework questions and answers library Search Browse Browse by subject Ask a Homework Question Tutors available × Our tutors are standing by Ask a question and one of our academic experts will send...
Differentiation of the hyperbolic functions are: {eq}\ \ \ \ \ \ \ \ \displaystyle \frac{d}{dx}[\sinh x] = \cosh x\\ \ \ \ \ \ \ \ \ \displaystyle \frac{d}{dx}[\cosh x] = \sinh x\\ {/eq} Answer and Explanation: Given: {eq}f(x) = x ...
Learn the definition of Derivative and browse a collection of 1000 enlightening community discussions around the topic.
{amsbsy} \\usepackage{mathrsfs} \\usepackage{upgreek} \\setlength{\\oddsidemargin}{-69pt} \\begin{document}$${\\|}f_{n}^{(\\alpha)}\\cosheta+ilde{f}_{n}^{(\\alpha)}\\sinheta{\\| }\\leq B_{n}(\\alpha,heta)\\|f_{n}\\|$$\\end{document}in the uniform norm is...
In order to locate conservation laws of the newly proposed model given by (4), the chirp-free bright soliton solutions is written in a convenient form:q(x,t)=AD+cosh[B(x−vt)]1/2nei(−κx+ωt+θ0),where A is the amplitude of the soliton along with its inverse width being ...