Derivatives
The derivative of
y=3x^2-4
y'= 6x
The slope of the tangent line of
y=5x^2-4x
at x = 1.
6
The slope of the curve is found using
the first derivative
How many kids do I have?
2
What does the limit of
sin(x)/x
1
The derivative of
f(x)=-6x^2+10x-14
f'(x) = -12x + 10
The equation of the tangent line to
y=2x^3-6
at x=2
What is y=24x-38
If you had to find the derivative using the limit rule, what would you do?
that long formula that you all hate
How old are my kids?
10 and 7
What does the limit of
(1-cos(x))/x
0
The derivative
y = sqrt(x)
What is y' = 1/ (2sqrt(x) )
The x-coordinate for the point where f(x) has a horizontal tangent line f(x) = x2+x-6.
What is x = -1/2
Is y symmetric with the x-axis?
No
Replace y with -y and see if they are the same
What sport do I coach?
Track
Find the limit as x approaches 0 of
(1-cos(3x))/(4x)
0
The derivative of
y = 6x^4 - 1/2 x^2 - 10
y' = 72x^2 - 1
The x values for the horizontal tangent line of y = 1/3x3 + 1/2x2 - 6x at x=2
x=-3, x=2
What is the domain? What is the range?
Domain: all possible x values
Range: all possible y values
Whitworth
Determine any discontinuities for
(x^2-4)/(2x^2+5x+2)
x=2 VA non-removable disontinuity
Find the derivative of
(5x^2-12x-9)/(5x+3)
f'(x) = 1
Find the derivative of y = 1/6x3 + 3/2 x2.
y'=1/2x^2+3x
f(x)=2x^2+7
g(x)=x+2
f(g(x))
f(g(x))=2x^2+8x+15
What is my masters degree in?
Statistics
Find the limit as x approaches infinity of
(8x-4x^2)/(6x^3+3)
DNE