Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your results.

Question

f(θ) = 8 sin(θ) − θ, (0, 0)

Answer 1

f(θ)= 8sin(θ)-θ (0,0)
derivative of sin(x) is cos(x), so
f'(θ)=2cos(θ)-1
put the point 0 in for θ, it looks like this: f'(θ)=2cos(0)-1
cos(0)=1
so 8*1=8
8-1=7
The slope is 7

I realize this question is six years old, but hopefully this will help someone else that has this same problem.

Answer 2

Find the slope of the graph of the function at the given point. Use the derivative feature of a graphing utility to confirm your result . Function y=6x^_7,point(1,-1)