velocity/acceleration/distance
How do you find velocity given position?
Take the derivative.
What is another name for a derivative?
What is another form of antiderivates?
Integral.
When does a limit exist?
When left and right hand sides agree.
What is the point the tangent line goes through?
y=3(x - 2) -5
(2, -5)
How do you find velocity given acceleration?
Take the antiderivate.
What is the derivative of 2x?
2.
What can't you forget when writing an antiderivative with an open integral?
+C.
(x2-2x-3)/(8x+8) x<-1
x2-3 x≥ -1
Find the right hand limit as x->-1
-2
What is f'(x) if the equation of the tangent line is..
y=-1/2(x + 5) - 6
-1/2
How do you find acceleration given position?
Take the second derivative
What is the derivative of 4x6?
24x5.
What is the antiderivative of 4x?
2x2+C.
Lim x3-2x2+5
x->2
5
Find the derivative, and a point through the tangent line.
y=-4/5(x-3)+8
Derivative:-4/5
Point:(3,8)
s(t) = -16t2+160t+25
Find a(t)
-32
What is the derivative of...
(3x-5)3/2
3(3x-5)1/2
What is the antiderivative of 7x5?
(7/6)x6.
(x2-2x-3)/(8x+8) x<-1
x2-3 x≥ -1
Find the left hand limit as x->-1
-1/2
Find the equation of the tangent line.
y=2x3-6x2+5x+1 at the point (2,3)
y=5(x-2)+3
Position of a particle at x=0 is given by the equation 5x2+8. What is the particles velocity at t=0
10x.
What is the derivative of (sin(4x))7?
28sin(4x)6(cos(4x)).
What is the antiderivative of...
2x(x2-7)6?
1/7(x2-7)7
Lim (x2-x-2)/(x2-2x)
x-> 1
2.
Find the equation of the tangent line.
y=3x4-5x3+6x+8 at x = 1
y=3(x-1)+12