MATH

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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.

f(θ) = 8 sin(θ) − θ, (0, 0)

  • MATH -

    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.

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