The derivative of cos is -sin, reflecting the sine function with a negative sign, whereas the derivative of cosh is sinh, or the hyperbolic sine function. 6 What are the inverse functions of cos and cosh? The inverse of cos is arccos, while the inverse of cosh is arccosh, each retrievin...
FAQ: What Is the Correct Derivative of Log(cosh(x-1))? What is the derivative of log(coshx-1)? The derivative of log(coshx-1) is 1/(coshx-1). How do you find the derivative of log(coshx-1)? To find the derivative of log(coshx-1), you can use the chain rule and the ...
Prove the identity. cosh(-x) = cosh x Prove the identify. \cosh(-x) = \cosh(x) (This shows that cosh is an even function.) \cosh(-x) = \frac{1}{2}[ \: +e^{-(-x)}] = \frac{1}{2} (+e^{x}) Find the derivative. G(x) = \sinh^{2}(x) ...
How to find c in an anti-derivative? What is Anti-derivative of \frac{1}{y^2}? What is the anti-derivative of 2 sin x - tan 3x? What is the anti-derivative, R(t) for this equation? What is the anti-derivative of \sqrt{\cosh^{2}(x)}?
A Taylor Series Expansion is calculated using the derivatives of a function at a given point. The formula for the Taylor Series Expansion is f(x) = f(a) + f'(a)(x-a) + f''(a)(x-a)^2/2! + f'''(a)(x-a)^3/3! + ..., where f'(a) is the first deri...
Not regardless of the interacting part, but only if the interacting part is constructed canonically from a local action without derivative interaction. This covers Phi^4 theory and QED. In view of what you proved already, it is enough to show that W commutes with Phi(0,0). Now W is def...