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Viewing All Flashcards for First Derivative
Questions
Answers
1)
What is the definition of the derivative?
 
Lim f(x+h) - f(x)x->0 h
2)
What is the first derivative of the position function called?
 
Velocity
3)
What is the derivative of velocity called?
 
Acceleration
4)
Find dy/dx.y = 3x2
 
6x
5)
Find dy/dx.y = 5
 
0
6)
What is the slope of the curve y = -2x2 + 3x at the point (1,3)?
 
Slope = -1
7)
Write the equation of the tangent line to y = x3 at x= - 2
 
Y + 8 = 12(x + 2)
8)
AQ particle moves along a line so that its position at any time t is given by the function s(t) = t2 - 3t + 2. Where s is measured in meters and t is measured in seconds.Find the instantaneous velocity at t =4.
 
5 m/sec
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