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...
•sinh(x)—hyperbolic sine •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 ...
Find the derivative of y 1.y=\frac{1}{2}\sinh (2x+1) 2.y=\left ( 4x^{2}-1 \right )\csc h(\ln 2x) 3.y=2\sqrt{x}\tanh \sqrt{x} 4.y=\cosh ^{-1}2\sqrt{x+1} What is the derivative of csc(x)? Find the derivative of the function y = ( \csc x + \cot x)^...
Find the derivative of the following: y = sinh^{(-1)} (cos \: x). Find the derivative of the following: \dfrac{d}{dx} (\sqrt{x})^{1/x}. Find the derivative of the following: y = tan ( \sqrt{x}). Find the derivative of the following. y = log_2 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)?
sinh-1x Inverse hyperbolic cosine 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: ...
Find the derivative of the function y=cossin(tan5x). Differentiation :With the rule of differentiation, it becomes easier to break the complex expression in parts, and then differentiate it. We can apply the chain rule multiple times. Also, the product rule and the quotient rule of ...
The derivative of f(x)=log(cosh(x)-1) is sinh(x)cosh(x)−1 as you wrote, and that is not among the given answers.May 3, 2017 #7 Mark44 Mentor Insights Author 37,791 10,183 Ryansf98 said: f'(x) = [1/cosh(x) - 1] * d/dx [cosh(x) - 1], => f'(x...
* a tedious and error-prone task but has the advantage of having no limitation * on the derivation order despite no requiring users to compute the derivatives by * themselves. Implementing complex expression can also be done by developing computation ...
A novel metaheuristic approach that we propose is called the sinh cosh optimizer (SCHO), and it is intended to further optimize the settings of the PID-F controller that is used in the aircraft pitch control (APC) configuration. An in-depth comparison and contrast of the reco...