gaokao 2020 Q6

gaokao · China · national-I-science 5 marks Tangents, normals and gradients Find tangent line equation at a given point
The equation of the tangent line to the graph of $f ( x ) = x ^ { 4 } - 2 x ^ { 3 }$ at the point $( 1 , f ( 1 ) )$ is
A. $y = - 2 x - 1$
B. $y = - 2 x + 1$
C. $y = 2 x - 3$
D. $y = 2 x + 1$
The equation of the tangent line to the graph of $f ( x ) = x ^ { 4 } - 2 x ^ { 3 }$ at the point $( 1 , f ( 1 ) )$ is\\
A. $y = - 2 x - 1$\\
B. $y = - 2 x + 1$\\
C. $y = 2 x - 3$\\
D. $y = 2 x + 1$