The curve C has parametric equations x=2cos(t) and y=3cos(2t). Find and expression for dy/dx in terms of t.
Differentiate both equations given with respect to t.
dx/dt = -2sin(t)
dy/dt = -6sin(2t)
dy/dx = (dy/dt) / (dx/dt)
Sub your values in to get
dy/dx = (3sin(2t))/sin(t)
SK
Related Maths A Level answers
All answers ▸Find the gradient of the exponential curve y(x)=(9e^(7x))/(12e^(2x)) at x=2/5
Find, in radians, the general solution of the equation cos(3x) = 0.5giving your answer in terms of pi
What does it mean when I get a negative value when I do a definite integral?
Integrate the function : F'(x)=3x^2+4x-5