All Tasks
Study of horizontal asymptote
Let the function
$f(x)=\frac{e^x+x}{e^x}$,
we can say that
# Exponential function
Training
11
Comparison of functions
Are
$f(x)=\log_2{\frac{4x^2-2x}{2x-1}}$
and
$g(x)=1+\log_2x$
the same function?
# Logarithmic function
Reasoning
11
Fall Time of a Stone
About the previous task, $v(t) = 2,5 (1 - e^{-0,1t})$ after what amount of time is the stone sinking with a velocity of $2 m/s$?
# Parametric functions
Modeling
11
Calculating Natural Logarithm
Solve the following equation: $e^ {x+2}=21$. The result shall be rounded to three places to the right of the decimal point.
# Logarithm properties
Training
11
Euler's number $e$
$e$
# Exponential properties
Learning
10
Derivative of log
Which of these graphs is the one of the derivative of the logarithmic function?
# Derivation of functions
Reasoning
10