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Derivatives of e
Derivatives of e
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review of #derivatives #calculus #e
Flashcards
10 cards
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Practice quiz
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Questions
10
Answers
1
Find any relative extrema: y = e
x
- 3x
Minimum at (1.09, -0.30)
Maximum at (1.09, -2)
Maximum at (0, 1)
Minimum at (0, -1)
2
differentiate y=(x
2
+3x-9)e
x
ex(x2+5x)
x2ex+5xex-6
ex(x2+3x-6)
ex(x2+5x-6)
3
f(x)=(1/2)
x
is exponential...
growth
decay
4
The function g(x)=-2e
-x
is
decreasing everywhere
concave up everywhere
concave down everywhere
increasing everywhere
5
Find the equation of the tangent line to the function f(x) = e
2x
- 1 at (2, 4)
y = 109.20x + 222.40
y = 54.60x + 113.20
y = 2e2x
y = 72.90x - 186.40
6
Find the derivative: f(x) = e
5x-3
f'(x) = e5
f'(x) = 5e5x-3
f'(x) = e5x-3
f'(x) = 1/6 e^6
7
Differentiate y = e
2x
/x
4
(e2x-2e2x) / x4
(2e2x(x-2)) / x5
(2e2x-2e2x) / x5
(2xe2x-2x2e2x) / x8
8
Find the slope of the tangent line to the function f(x) = 2e
-3x
at (0, 2)
-3
2
6
-6
9
f(x)=(0.7)
-x
is exponential...
growth
decay
10
Find the derivative: f(x) = 2x e
6x+1
f'(x) = 12x e6x+1+ 2e6x+1
f'(x) = 12e6x+1
f'(x) = 2x e6x+1+ 2e6x+1
f'(x) = 2e6x+1
