Exam 3 - Calc

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Last updated 12:20 AM on 4/8/26
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11 Terms

1
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The derivative of f(x) = e5x is

f’(x)= 5e5x

2
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The derivative of f(x)= 10x is

f’(x) = 10xln(10)

3
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The derivative of the product f(x)g(x) is

f’(x)g(x) + f(x)g’(x)

4
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The derivative of y= xex is

y’= ex(x+1)

5
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The derivative of y3 with respect to x is

3y2y’

6
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The derivative of f(x)= 5ln(x) is

f’(x) = 5/x

7
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The derivative of f(x)= 3x

3xln3

8
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The derivative of (loga(u)) =

u’ OVER uln(a)

9
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For y= eu(x), the derivative is

eu(x) x u’(x)

10
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If y = ln(g(x)), then

y = g’(x) / g(x)

11
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If you need to get “rid” of e in A=Pert, what would it convert to?

ln