## All Tasks

#### Term-Graph

Give to the given term the letter of the corresponding graph.

# Quadratic functions

Training

9

#### Vector (exact value): Linear Function

Determine the parameters of the linear function $f(x)=mx+b$ that goes through the points A (6|24) and B (-1|-4)

# Linear functions

Training

7

#### Multiple Choice: Proportionality

Below, select all true statements about proportional mappings. There may be more than one.

# Direct proportionality & rule of three

Reasoning

7

#### Chain rule arccos

Let $f$ be a diferentiable function in $\mathbb{R}$ and $g(x)=f(\arccos(2x-1))$. Find the derivative of $g$ at the point where the line $2x-2y=1$ intercepts the $x$ axis.

# Functions of one variable

Reasoning

13

#### Arcsin tangency point

Find the point of tangency at which the line $y-4x+1=0$ is tangent to the curve $y=\arcsin(4x-1)$

# Functions of one variable

Training

13

#### Tangent line of the arccos

Determine the equation of tangent line of $\arccos(x)$ for $x=0.6$.
The equation of the tangent line can be described by the function $t(x)=mx+b, m, b\in\mathbb{R}$.
Insert the values of $m$ and $b$ in the related check boxes. Round to two decimal digits each.

# Complements of differential calculus in real numbers

Training

13