# Study sets matching "calculus ab derivatives"

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Limit Definition of a Derivative

Alternate Form of the Derivative

A function is not differentiable on a v…

There is a vertical tangent line if...

a vertical tangent line (slope is undefined) or if there is a…

the derivative (slope) is undefined.

Limit Definition of a Derivative

Alternate Form of the Derivative

First Definition of a Derivative

Second Definition of a Derivative

Specific Form of Derivative

Does differentiability imply continuity?

- Can be replaced by ∆X... - Slope of a tangent line

lim (x+h)^2 - (x-h)^2... h -> 0 2h

- If f(x) is differentiable at x=c if f(x) is continuous

First Definition of a Derivative

- Can be replaced by ∆X... - Slope of a tangent line

Second Definition of a Derivative

lim (x+h)^2 - (x-h)^2... h -> 0 2h

relative maximum

relative minimum

critical points

instantaneous rate of change

only candidates are CRITICAL POINTS.... f'(x) changes from (+)…

only candidates are CRITICAL POINTS....f'(x) changes from (-)…

f'(x) = 0 or f'(x) is undefined ... CANDIDATES FOR EXTREMA... graphi…

DERIVATIVE

relative maximum

only candidates are CRITICAL POINTS.... f'(x) changes from (+)…

relative minimum

only candidates are CRITICAL POINTS....f'(x) changes from (-)…

Limit Definition of a Derivative

Alternate Form of the Derivative

A function is not differentiable on a v…

There is a vertical tangent line if...

a vertical tangent line (slope is undefined) or if there is a…

the derivative (slope) is undefined.

Limit Definition of a Derivative

Alternate Form of the Derivative

Limit Definition of a Derivative

Alternate Form of the Derivative

A function is not differentiable on a v…

There is a vertical tangent line if...

a vertical tangent line (slope is undefined) or if there is a…

the derivative (slope) is undefined.

Limit Definition of a Derivative

Alternate Form of the Derivative