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11 questions
If
If y=(x3+1)2, then dxdy=(3x2)2
2(x3+1)
2(3x2+1)
3x2(x3+1)
6x2(x3+1)
If g(x)=x+2x−2, then g′(2)=
1
-1
1/4
-1/4
0
Find the derivative of the following:
x−x34121x−21−x−34
21x−21+34x−37
21x−21−34x−31
−21x−21+34x−37
−21x−21−34x−31
Find f'(2) if
f(x)=x−1x2−2-2
1/6
1/2
2
6
Let f be the function defined below. Which of the following is an equation of the line tangent to the graph of f at the point where x = -1?
f(x)=4x3−5x+3y = -7x - 3
y = 7x + 7
y = 7x + 11
y = -5x - 1
y = -5x - 5
If y=4+x23, then dxdy=
2x3
(1+x2)23x
(4+x2)26x
−(4+x2)26x
−(4+x2)23
If the line tangent to the graph of the function f at the point (1,7) passes through the point (-2, -2), then f'(1) =
-5
1
3
7
undefined
Let f be a differentiable function with f(2) = 3 and f'(2) = -5, and let g be a function defined by g(x) = x . f(x). Which of the following is an equation of the line tangent to the graph of g at the point where x = 2?
y=3x
y−3=−5(x−2)
y−6=−5(x−2)
y−6=−7(x−2)
y−6=−10(x−2)
If g'(-4) = 2 and h'(-4) = 3, find f'(-4) for
f(x)=4g(x)−6h(x)+329
-10
26
-7
1
If y=5x3−6x2+4, find dx2d2y
30x - 12
12x - 20
12x - 30
20x - 12
15x2−12x
If y=3x2+8x+4x−3, find y′′(1)
-42
2
15
54
64
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