Answer to: Find the derivative of sinh x By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can also ask...
Answer to: Find the derivative: y = sec x csc x. By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can...
Answer and Explanation:1 Let the given function be {eq}y {/eq} then we have: {eq}y=\sec x (\tan x - \sec x) {/eq} The derivative of {eq}y {/eq} with respect to... Learn more about this topic: Finding Derivatives of a Function | Overview & Calculations ...
•arctan(x)—arctangent •arccot(x)—arccotangent •sinh(x)—hyperbolic sine •cosh(x)—hyperbolic cosine •tanh(x)—hyperbolic tangent •coth(x)—hyperbolic cotangent •sech(x)—hyperbolic secant •csch(x)—hyperbolic cosecant ...
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...
Let us find the derivative of {eq}y = \sec(x) {/eq}. Let's redefine the function as a function of cosine. Thus we have {eq}y = \dfrac{1}{\cos x}...Become a member and unlock all Study Answers Try it risk-free for 30 days Try it risk-free Ask a question Our experts...
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: ...
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...
compiler.cosh(data, 0, result.data, 0); return result; } /** {@inheritDoc} * @since 3.2 */ public DerivativeStructure sinh() { final DerivativeStructure result = new DerivativeStructure(compiler); compiler.sinh(data, 0, result.data, 0); ...
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). Now, in you question f(x)=1/√(9x)=1/(3√x). First find f(x+...