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Unit 2 AP Calculus

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Section 1

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Position Function

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Calculus Math

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Date created

Mar 1, 2020

Cards (20)

Section 1

(20 cards)

Position Function

Front

s(t) = -16x^2 + vt + s (ft) s(t) = -4.9x^2 + vt + s (m)

Back

Product Rule

Front

f'(x)g(x) + f(x)g'(x)

Back

If thrown down, initial velocity is...

Front

negative

Back

f(x) = sec(x)

Front

f'(x) = sec(x)tan(x)

Back

Quotient Rule

Front

g(x)f'(x) - f(x)g'(x) / g(x)^2 LΔH - HΔL / LL

Back

Velocity Function

Front

v(t) = s'(t) (m/ft per s)

Back

The derivative of a constant is always...

Front

0

Back

If thrown up, initial velocity is...

Front

positive

Back

Alternate Form of Derivative

Front

f(x) - f(c)/(x-c)

Back

Eq. of a Tangent Line

Front

y - y₁ = m(x - x₁)

Back

f(x) = tan(x)

Front

f'(x) = sec^2(x)

Back

Power Rule

Front

f(x) = x^n f'(x) = nx^n-1

Back

If dropped, initial velocity is...

Front

0

Back

f(x) = cos(x)

Front

f'(x) = -sin(x)

Back

f(x) = sin(x)

Front

f'(x) = cos(x)

Back

Definition of Derivative

Front

lim as x->0 of f(x+Δx)-f(x)/Δx

Back

f(x) = cot(x)

Front

f'(x) = -csc^2(x)

Back

Acceleration Function

Front

a(t) = v'(t) = s''(t) (m/ft per s^2)

Back

f(x) = csc(x)

Front

f'(x) = -csc(x)cot(x)

Back

A function is not differentiable if...

Front

- the function is discontinuous - the function has a sharp turn - the function has a cusp - the function has a vertical tangent

Back