All Tasks
Chain rule arccotan
Applying the chain rule, calculate $\frac{dy}{dx}(1)$ where $y(v)=arccot\left(v^2+v\right)$, and $v(u)=\ln(u^2-3)$, and $u(x)=\dfrac{x+1}{x}$
# Functions of one variable
Training
13
Cube tower 1
For each given tower, calculate the
number of side faces visible
side faces.
# Numerical expressions
Modeling
7
term triangle 2
The depicted sequence of matchstick figures is continued. Give the term that can be used to determine the number of matches needed at the
step n.
# Terms
Modeling
7
term triangle 1
The depicted sequence of matchstick figures is continued. Indicate how many matchsticks are needed for step 4.
# Terms
Modeling
7
term square 2
The depicted sequence of matchstick figures is continued. Cross all terms that can be used to determine the number of matches needed at the
step n can be determined.
# Terms with variables
Reasoning
7
Equations using arccotan
The solution of the equation $2\text{arccot}(x+1)=\dfrac{\pi}{2}$ is:
# Functions of one variable
Training
13