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Math final project
Math final project
15 terms
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#calculus #limits #derivatives #implicit differentiation
Flashcards
15 cards
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Practice quiz
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Questions
15
Answers
1
The concept of limit underlies all of calculus including derivatives integrals and other different series of limits
False
True
2
Y= 5(-8x-1)^5 in dy/dx
y’= -200(8x+1)^4
y’=-45(4x+2)^2
3
x^3 y^3-y =x
Dy/dx= 1/ 3x^3y^2-1
Dy/dx= 1/ 2x^2y-2
4
Derivative is the slope of the tangent line
True
False
5
In limits the term “undefined” specifies that something does not exist
False
True
6
d/dz (z^4 - 2sin z)
4z^3 -2 cos z
6z^2+3 cos z
7
d/dx (-cos(-2x))
10 sin (4x)
4 sin (2x)
2 sin (2x)
6 cos (4x)
8
Sin (2+ 5x) sin^2 x find dy/dx
y’= 5 cos (2+5x) sin (x)^2+sin(2+5x) sin(2x)
y’= 6cos(3+6x)sin (x)^2+cos(3+5x) sin (3x)
9
When you write the equation of a tangent line u do not substitute at the end
False
True
10
d/dx (4z^2-3 sin z)
8z-3cos(z)
4z^2 -2cos(z)
11
d/dx (cos x)
sin (x)
-cos (x)
cos (x)
-sin (x)
12
2y+x = y-3
Dy/dx =-1
Dy/dx= 3
13
y= x/3-5x^3
3x^4+4/(3-4x^2)^3
10x^3+3/(3-5x^3)^2
14
5(7x-9)^5 in dy/dx
Dy/dx=20(8x-6)^5(7)
Dy/dx = 25(7x-9)^4(7)
15
y= x/ 5-2x^3 find dy/dx
y’= 5+4x^3/(5-2x^3)^2
y’= 6+3x^2/(7-2x^3)^2
