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AP calculus

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Object changed direction when what changes sign?

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Calculus Math

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Mar 1, 2020

Cards (35)

Section 1

(35 cards)

Object changed direction when what changes sign?

Front

Velocity

Back

Critical value

Front

Where the derivitive is equal to 0 or DNE

Back

HA x^5/x^3

Front

DNE

Back

To get tangent line you need what to things?

Front

Point and slope

Back

d/dx sinx

Front

cosx

Back

lim x→4 x-4/sin(x-4)

Front

1

Back

d/dx cscx

Front

-cscxcotx

Back

What is the second derivative of position

Front

Acceleration

Back

d/dx secx

Front

secxtanx

Back

When v > 0 the object is moving in what direction

Front

Positive

Back

d/dx tanx

Front

sec²x

Back

What indicates direction of movement?

Front

Velocity

Back

d/dx position s(t)

Front

Velocity v(t)

Back

Continuity at a point

Front

lim x→c^-=f(c)=lim x→c^+

Back

Object is stopped when what is 0?

Front

Velocity

Back

Normal line's slope is the tangent line's slope

Front

Back

Object is speeding up when velocity and acceleration have the same or differing signs?

Front

Same

Back

lim x→0 sinx/x

Front

1

Back

lim x→0 1-cosx/x

Front

0

Back

lim x→0 tanx/x

Front

1

Back

Object is slowing down when velocity and acceleration have same or different signs?

Front

Different

Back

When v < 0 the object is moving in what direction?

Front

Negative

Back

Integral of velocity

Front

Position

Back

Fastest

Front

K-logx-x^n-b^x-x!-x^x

Back

d/dx cosx

Front

-sinx

Back

Intermediate Value Theorem

Front

There exists a k between the closed interval where f(c)=k (hits all numbers in between at least once)

Back

If f and g are inverse functions then g prime =

Front

1/f prime

Back

Integral of acceleration

Front

Velocity

Back

Extreme Value Theorem EVT

Front

If f is continuious on a closed interval f has both a max and min value on the interval

Back

HA 3x^3/4x^3

Front

3/4

Back

HA x^3/x^5

Front

0

Back

d/dx cotx

Front

-cot^2x

Back

lim x→0 x/1-cosx

Front

DNE

Back

Mean Value Theorem MVT

Front

If f is continuous on closed and differentiable on open then thete is a number c where its function derivitive is f(b)-f(a)/b-a

Back

d/dx velocity v(t)

Front

Acceleration a(t)

Back