A curve in the xy-plane is defined by (x(t),y(t)), where x(t)=sin(2t) and y(t)=cos(3t). Which of the following is equivalent to d/dt (x(t),y(t)) ? A=(cos(2t), sin(3t))
B=(2cos(2t), -3sin(3t))
C=(2cos(2t), 3sin(2t))
D= (-2cos(2t), -3sin(3t))

i cant see the graph

step-by-step explanation:

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0