AP Calculus Exam
Quiz yourself by thinking what should be in
each of the black spaces below before clicking
on it to display the answer.
Help!
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| show | line perpendicular to the tangent line at the point of tangency
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| Derivative Of Sine | show 🗑
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| Derivative Of Cosine | show 🗑
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| Derivative Of Tangent | show 🗑
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| show | -csc cot
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| show | sec tan
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| Derivative Of Cotangent | show 🗑
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| show | has a CV
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| show | is equal to 0
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| Equation Of A Tangent Line | show 🗑
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| show | [f'(x) ⋅ g(x)] + [f(x) ⋅ g'(x)]
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| show | (y2-y1) / (x2-x1)
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| show | { [f'(x) ⋅ g(x)] + [f(x) ⋅ g'(x)] } / [g(x)^2]
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| Chain Rule | show 🗑
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| show | e^any ⋅ derivative(any)
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| Derivative Of ln(any) | show 🗑
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| Derivative Of a^(any) | show 🗑
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| Derivative Of log_a_(any) | show 🗑
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| In Order For A Function To Be Differentiable... | show 🗑
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| When F''(x)=0 or DNE, F(x)... | show 🗑
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| When F''(x)=0 or DNE, F'(x)... | show 🗑
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| When F''(x)>0, F(x)... | show 🗑
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| When F''(x) Goes From Positive To Negative, F(x)... | show 🗑
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| When F''(x)<0, F(x)... | show 🗑
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| When F''(x) Goes From Negative To Positive, F(x)... | show 🗑
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| show | has a relative max
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| show | has a relative min
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| show | if f(x) is continuous on [a,b], than f(x) is guaranteed to have an absolute maximum & an absolute minimum on [a,b]
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| Absolute Extrema Can Occur... | show 🗑
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| Relative Extrema Can Occur... | show 🗑
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| To Find The Absolute Extrema From An Analytical Function... | show 🗑
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| show | slope of secant --> (y2-y1)/(x2-x1)
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| Instantaneous Rate Of Change | show 🗑
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| Mean Value Theorem | show 🗑
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| Intermediate Value Theorem | show 🗑
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| show | put a y' behind it
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| show | 1) multiply 2) subtract one from the exponent
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| Steps Of Integration | show 🗑
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| Integral Of Cosine | show 🗑
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| show | -cosx
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| show | 1) set "u" equal to inside function # 2) find the derivative of "u" # 3) move coefficients to the "du" side # 4) plug "u" & "du" into the integral # 5) plug original boundaries into "u" to get "u" boundaries # 6) solve # 7) plug original function back in
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| When Left Hand Riemann Sum Is Increasing... | show 🗑
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| show | it is an over approximation
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| show | it is an over approximation
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| show | it is an under approximation
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| show | (left hand + right hand) / 2
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| Second Fundamental Theorem Of Calculus | show 🗑
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| show | p(b)-p(a) / b-a = slope of position OR (1/b-a) ∫a(t)dt
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| Average Acceleration Equation | show 🗑
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| show | is x to the right & y up
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| show | is to the left & down
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| When Velocity Goes From Positive To Negative Or Vice Versa, Position... | show 🗑
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| show | is increasing
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| When Acceleration<0, Velocity... | show 🗑
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| When Acceleration Changes From Positive To Negative, Velocity... | show 🗑
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| When Acceleration Changes From Negative To Positive, Velocity... | show 🗑
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| Speed Is The Absolute Value Of... | show 🗑
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| Velocity & Acceleration In Relation To Speed | show 🗑
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| show | ∫v(t)dt
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| Total Distance Equation | show 🗑
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| Area Equation | show 🗑
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| show | π∫(OUTER-AXIS)^2-(INNER-AXIS)^2dx
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| show | value ⋅ ∫(TOP-BOTTOM)^2
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| show | 1
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| Cross Section Value Of Semi-Circle | show 🗑
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| show | 1/2
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| show | √3/4
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| Area In Respect To "y" | show 🗑
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| show | 1) separate the variables -- 2) integrate both sides -- 3) find c -- 4) use c to solve for y
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To hide a column, click on the column name.
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You may also shuffle the rows of the table by clicking on the "Shuffle" button.
Or sort by any of the columns using the down arrow next to any column heading.
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Created by:
abievans
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