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MATH 155- Quiz 7
Question | Answer |
---|---|
f'(x) <0 | function is decreasing |
f'(x) >0 | function is increasing |
f"(x)<0 | concave down |
f"(x)>0 | concave up |
steps to use derivatives to graph | find f'/critical points, find where f is increasing, find f"/inflection points where f"=0/concavity, check for asymptotes/intercepts |
velocity | first derivative of position function |
acceleration | second derivative of position function |
f(x)=e^ax derivative and 2nd derivative | f'(x)=ae^(ax) f"(x)=a^2e(ax) |