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n200080 [17]
2 years ago
6

If e^(xy) = 2, then what is dy/dx at the point (1, ln2)?

Mathematics
1 answer:
love history [14]2 years ago
3 0
E^(xy) = 2
(xdy/dx + y)e^(xy) = 0

At point (1, ln2), dy/dx + ln2 = 0
dy/dx = -ln2
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If f(x)=3x and g(x)=2x what is (gof)(x)?
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Answer:

Given f(x) and g(x), please find (fog)(X) and (gof)(x) f(x) = 2x   g(x) = x+3    

Given f(x) and g(x), please find (fog)(X) and (gof)(x)

f(x) = 2x   g(x) = x+3    

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Quick Answer

(fog)(x) = 2x + 6

(gof)(x) = 2x + 3

Expert Answers

HALA718 eNotes educator| CERTIFIED EDUCATOR

f(x) = 2x

g(x) = x + 3

First let us find (fog)(x)

(fog)(x) = f(g(x)

            = f(x+3)

              = 2(x+3)

              = 2x + 6

==> (fog)(x) = 2x + 6

Now let us find (gof)(x):

(gof)(x) = g(f(x)

           = g(2x)

          = 2x + 3

==> (gof)(x) = 2x + 3

Step-by-step explanation:


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