Connecting Features of f,f',and f''

Pataasin ang iyong marka sa homework at exams ngayon gamit ang Quizwiz!

When f'(x) is increasing, f(x) is _____________________ and f''(x) is ___________________.

concave up, positive

An x- intercept on f'(x) corresponds to a ______________ of f(x)

critical point

when f'(x) is positive, f(x) is

increasing

When f''(x) is ______ f(x) is concave down

negative

f(x) has a relative maximum when f'(x) changes from

positive to negative

Points of inflection of f(x) are ______ on the graph of f'(x)

relative extrema

When f'(x) changes signs f(x) has

relative extrema

When the ____ of f(x) are decreasing f"(x) is negative

slopes

the _____ of f'(x) give the slopes of f(x)

y-values


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