Question

r = 3cos(theta)+2sin(theta)

Find an expression for the slope of the curve at any point (r,Theta)

Answer 1

\[r(\theta)=3cos(\theta)+2sin(\theta)\]\[Find\ r'(\theta)\]

Answer 2

derivative of cos(x) = -sin(x)
derivative of sin(x) = cos(x)

so \[r'(\theta) = -3\sin(\theta) + 2\cos(\theta)\]