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10 cards from this deck
f′(c)f'(c)f′(c), the derivative at that point
Gradient of tangent line at that point
f(b)−f(a)b−a\frac{f(b) - f(a)}{b - a}b−af(b)−f(a)
v(t)=dxdt=x′(t)=x˙v(t) = \frac{dx}{dt} = x'(t) = \dot{x}v(t)=dtdx=x′(t)=x˙
Particle moves in positive direction
Particle is momentarily at rest
Absolute value of velocity, always non-negative
∣v(t)∣=∣x′(t)∣|v(t)| = |x'(t)|∣v(t)∣=∣x′(t)∣
When velocity v(t)=0v(t) = 0v(t)=0
Vector has magnitude & direction; scalar only magnitude
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