Applications of derivatives

9000145408

Level: 
C
Identify a true statement on the function f(x)=(x−1)3(x+1)2.
The function f has neither local minimum nor maximum at x=1.
The global maximum of f on R is at x=−1.
The function f has a local maximum at x=−15.
The function f has three local extrema. These extrema are at x=1, x=−1 and x=−15.

9000064110

Level: 
B
Identify a true statement related to the function f(x)=x−1x+1.
The tangent at T=[−3;2] is parallel to x−2y+1=0.
The tangent at T=[−3;2] contains the point A=[1;−4].
The slope of the tangent at T=[−3;2] is 2.
The tangent at T=[−3;2] is perpendicular to x+2y+1=0.