All Tasks

Chain rule arccotan

Applying the chain rule, calculate $\dfrac{dy}{dx}$ where $y=arccot(cos(x))$
 
# Functions of one variable

Training
13

Differential arccotan

Consider the function f defined by $f(x)=arccot(2x+1)$. Assuming $x=1$, what is the change in $x$ for which the change in $f$ is $0.3$? (enter the value with 1 decimal place)
 
# Functions of one variable

Reasoning
13

Differential at one point

Consider the function $f(x) = arccot \left(\dfrac{1}{x}\right),$ determine the differential of the function $f$ at the point of ordinate equal to $\dfrac{\pi}{4}$.
 
# Functions of one variable

Training
13

Differential of a function

Find the expression of $dy$ for the function $f(x) = arccot(3x)$.
 
# Functions of one variable

Training
13

Differential arccotan

Consider the function f defined by $f(x)=x~arccot(2x+1)$. So df(0) is:
 
# Functions of one variable

Training
13

Tangent line of arccotan

Consider the function defined by $f(x)=\frac{\pi}{4}-arccot(x)$. The tangent line of $f(x)$ for $x=1$ is $y=mx+b$ where (enter values to 1 decimal place)
 
# Functions of one variable

Training
13