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y csc(x1, x>0dydx

Question

Find the derivative of y with respect to x 

y csc(x1, x>0
dy
dx
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y csc(x1, x>0 dy dx

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Step 1

we are given an inverse function

 

У- Csc" (1° +1)
6
х>0
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У- Csc" (1° +1) 6 х>0

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Step 2

We can also write as arccsc

 

y arccsc(x6 1)
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y arccsc(x6 1)

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Step 3

Now, we can find derivative usin...

dy
d
(arcese(x +1)
dx
dx
df (u) df du
Apply the chain rule :
dx
du dx
f arcesc(u u =x° +1
d
d
(u)(x +1)
(areese(u))
du
dx
1
|-6x5
1
6x5
1
6x
dy
V 1 x +1'va° <
dx
+2
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dy d (arcese(x +1) dx dx df (u) df du Apply the chain rule : dx du dx f arcesc(u u =x° +1 d d (u)(x +1) (areese(u)) du dx 1 |-6x5 1 6x5 1 6x dy V 1 x +1'va° < dx +2

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Tagged in

Math

Calculus

Derivative

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