Basic Derivatives
Product and Quotient Rule
Formulas
Normal and Tangent Lines
MISC
100
What is the derivative of y = 3x2 ?
y' = 6x
100
Find the derivative of y = 3x2 sin x
3x2 cos x + 6x sin x
100
The name of this formula is power rule.
What is the name of this formula?? f'(x)=nx^(n-1)
100
3/4
If the normal slope is -4/3, what is the tangent slope?
100
f''(x)
Provide a representation of f double prime of x.
200
Find the derivative of f(x) = 5
0
200
f(x) = (3x - 2x2)(5 + 4x)
-24x2 + 4x + 15
200
FREE POINTS!!!!!!!!!!!
FREE POINTS!!!!!!!!!!!
200
You will take a reciprocal of the number and change the sign.
Describe how to manipulate a slope from a tangent normal?
200
True
T/F In order to determine horizontal tangents, you must equal the derivative of the given function, to zero.
300
Find the derivative of f(x) = 6x3 + x - 2
18x2 + 1
300
Find the derivative of y = (5x - 2)/(x2 + 1)
(-5x2 + 4x + 5)/(x2 + 1)2
300
Given f(x)= f(x)*g(x) f'(x)g(x)+f(x)g'(x)
What is the product rule?
300
Normal slope = -1
Find the normal slope given the function F(x)=x^7-2x^3 at x=1.
300
POINTS!!!!!
POINTS!!!!!
400
Find the derivative of f(x) = 3sinx - 2cosx
3cosx + 2sinx
400
Find the derivative of f(x) = (2x + 5)/(x)1/2
(2x - 5)/(2x3/2)
400
Given f(x)= f(x)/g(x) f'(x)=f'(x)g(x)-f(x)g'(x) all divided by (g(x))^2
What is the formula for quotient rule?
400
m=14, normal slope = -1/14 y+3=-1/14(x-1)
Find the equation of a normal line when f(x)=2x^3+4x^2 at (1,-3).
400
-8x-4/(2x+1)^4
Find f''(x) for f(x)=x/(2x+1)
500
d/dx[f(x)+/-g(x)] = f'(x)+/-g'(x)
What is the name of this formula?
500
tangent slope = -5/4 y-2=-5/4(x-2)
Find the equation of the tangent line when f(x)=(x+1)/(x-4) at (2,2).
500
x=1, y=-2 (1,-2)
Determine the points at which the graph of the following function have a horizontal tangent. f(x)=2x^2-4x
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