9000064107
Level:
C
Find the tangent to the graph of the function
\(f(x) = x^{2} + 4x - 2\) parallel to
the line \(2x + y + 1 = 0\).
\(2x + y + 11 = 0\)
\(2x - y - 1 = 0\)
\(2x + y - 1 = 0\)
\(2x - y - 11 = 0\)
Applications of derivatives
9000064108
Level:
C
Find the normal line to the graph of the function
\(f(x) = 2x^{2} - 7x\) parallel to
the line \(y = -x\).
\(x + y + 4 = 0\)
\(- x + y + 4 = 0\)
\(x - y - 8 = 0\)
\(x + y - 8 = 0\)
9000064109
Level:
C
Find the tangent to the graph of the function
\(f(x) = 3x^{2} - 8x + 2\) perpendicular
to the line \(x + 4y + 5 = 0\).
\(4x - y - 10 = 0\)
\(-4x + y + 1 = 0\)
\(8x - 2y + 1 = 0\)
\(-8x + 2y - 10 = 0\)
9000064110
Level:
C
Identify a true statement related to the function
\(f(x) = \frac{x-1}
{x+1}\).
The tangent at \(T = [-3;2]\)
is parallel to \(x - 2y + 1 = 0\).
The tangent at \(T = [-3;2]\)
contains the point \(A = \left [1;-4\right ]\).
The slope of the tangent at \(T = [-3;2]\)
is \(2\).
The tangent at \(T = [-3;2]\) is
perpendicular to \(x + 2y + 1 = 0\).