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{aligned} \frac{\sin (x+...
Derivative f’ of function f(x)=arcsin x is: f’(x) = 1 / √(1 - x²) for all x in ]-1,1[. To show this result, we use derivative of the inverse function sin x. Derivative of arcsin x Derivative $f’$ of function $f(x)=\arcsin{x}$ is: \(\forall x \in ]–1, ...
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 of tan x Derivative $f’$ of the function $f(x)=\tan x$ is: \(\forall x \neq \frac{\pi}{2}+k\pi, k \in \mathbb{Z}, f'(x) = 1+\tan ^{2} x\) Proof First we have: \((\tan x)' =\lim _{h \rightarrow 0} \dfrac{\tan (x+h) - \tan x }{h}\)...
•sin(x)—sine •cos(x)—cosine •tan(x)—tangent •cot(x)—cotangent •arcsin(x)—arcsine •arccos(x)—arccosine •arctan(x)—arctangent •arccot(x)—arccotangent •sinh(x)—hyperbolic sine •cosh(x)—hyperbolic cosine ...
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...
Find the derivative of cothx Derivative of a FunctionThe derivative of a function is a measure of the slope of the function, obtained as the rate at which the value of the function changes when its variable changes by a unit. It can be obtained for linear or nonlinear functions at ...
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 5 sin x + e^(x) log x . 01:48 Find the derivative of 5^(x) + log x + x^(2) e^(x) 01:35 Find the derivative of y = e^(2x)log (3x + 4) 03:27 Find the derivative of (1 - xsqrt(x))/(1+xsqrt(x)), (x > 0) 04:29 If f(x) = sqrt...
Answer to: Find the derivative of y = sec(x). By signing up, you'll get thousands of step-by-step solutions to your homework questions. You can...