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...
Derivative of sin x Derivative f’ of the function f(x)=sinx is: f’(x) = cos x for any value of x. Derivative of sin x Derivative $f’$ of the function $f(x)=\sin x$ is: \(\forall x \in ]-\infty, +\infty[ , f'(x) = \cos x\) Proof/Demonstration \[\begin{aligne...
Derivative of arcsin x Derivative $f’$ of function $f(x)=\arcsin{x}$ is: \(\forall x \in ]–1, 1[ ,\quad f'(x) = \dfrac{1}{\sqrt{1-x^2}}\) Proof Remember that function $\arcsin$ is the inverse function of $\sin$ : \[\left(f^{-1} \circ f\right)=\left(\sin ...
Derivative of inverse functions Derivative of exp x, e^x Derivative of exp(u) , exp(u(x)) Derivative of cos x Derivative of argsinh(x) Derivative of arctan x Derivative of arcsin x Derivative of arccos x Derivative of 1/x Derviative of 1/u Chain rule proof - derivative of a compos...
Derivative f’ of the function f(x)=tan x is: f’(x) = 1 + tan²x for any value x different of π/2 + kπ avec k ∈Z
•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 ...
We have to find the derivative of ln(sinhx) Differentiate the given function with respect to x. $$\begin{align} \dfrac{\mathr...Become a member and unlock all Study Answers Start today. Try it now Create an account Ask a question Our experts can answer your tough ...
Find the derivative of y = ln(sinh 6x). Find the derivative of y = x^4 + 4x + 10. Find the derivative. y = ln(3 +e^\frac{x}{3}-e^x) Find the derivative. y = x^2sin^4 x + x cos^{-2} x Find the derivative y ' for the following y = 5sec (2x^2) + 6 tan^...
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: ...
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...