Question

find the slope of the line tangent to the curve r=2cos3θ, at θ=π/6

Answer 1

can you find the 1st derivative...?

Answer 2

-6sin3θ

Answer 3

great... the 1st derivative is the equation of the slope of the tangent...

so substitute the value

\[\theta = \frac{\pi}{6}\]

this will give the slope...

Answer 4

what value did you get for the slope..?

Answer 5

-6 ?

Answer 6

correct... thats all you need...

remember the 1st derivative gives the equation of the slope of the tangent.

for a specific slope you need to substitute the x value from the point.

Answer 7

thanks