## All Tasks

#### 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

#### Differential arccotan

Consider the function f defined by $f(x)=x~arccot(2x+1)$. So df(0) is:

# Functions of one variable

Training

13

#### Tangent line of arccotan

Consider the function defined by $f(x)=\frac{\pi}{4}-arccot(x)$.
The tangent line of $f(x)$ for $x=1$ is $y=mx+b$ where
(enter values to 1 decimal place)

# Functions of one variable

Training

13

#### Normal line of arccos

Consider the function defined by $f(x)=-3\arccos(x+1)$. Determine the normal line of $f(x)$ for $x=-1/2$.

# Functions of one variable

Reasoning

13