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