All Tasks
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
Differential arccotan
Consider the function f defined by $f(x)=arccot(2x+1)$. Assuming $x=1$, what is the change in $x$ for which the change in $f$ is $0.3$?
(enter the value with 1 decimal place)
# Functions of one variable
Reasoning
13
Differential at one point
Consider the function $f(x) = arccot \left(\dfrac{1}{x}\right),$ determine the differential of the function $f$ at the point of ordinate equal to $\dfrac{\pi}{4}$.
# Functions of one variable
Training
13
Differential of a function
Find the expression of $dy$ for the function $f(x) = arccot(3x)$.
# Functions of one variable
Training
13