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