All Tasks
Equations using arccotan
Find the abscissa of the intersection point between the curves $y=-\dfrac{3\pi}{2}\text{arccot}\left(\dfrac{2x+1}{3}\right)$ and $y=\ln e^{-\frac{3\pi^2}{8}}$.
# Functions of one variable
Training
13
Domain and range of arcsin
The domain ($D_f$) and the range ($D'_f$) of function
$f(x)= 2 \arcsin\left(\dfrac{x}{3}\right)$ are, respectively,
# Functions of one variable
Training
13
Domain and range of arcsin
The domain ($D_f$) and the range ($D'_f$) of function
$f(x)= \dfrac{\pi}{2} -2 \arcsin(1-2x)$ are, respectively,
# Functions of one variable
Training
13
Inverse function derivative theorem arccotan
Let $g(x)=\mbox{arccot}(x)$. Applying the inverse function derivative theorem, the expression of $\left(g^{-1}\right)'(x)$, is:
# Functions of one variable
Training
13
Chain rule arccot
Applying the chain rule, calculate $\frac{dy}{dx}$ where $y=arccot(u^2+1)$, and $u=\sqrt{x+1}$.
# Functions of one variable
Training
13
Chain rule arccotan
Applying the chain rule, calculate $\dfrac{dy}{dx}$ where $y=arccot(cos(x))$
# Functions of one variable
Training
13