Question
Asked Oct 14, 2019

Can you help me step by step?

Find the derivative of y with respect to t
-1
y= csc(e 9t)
dy
dt
II
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Find the derivative of y with respect to t -1 y= csc(e 9t) dy dt II

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check_circleExpert Solution
Step 1

We use chain rule of differentiation which states that if f(x)=g(h(x)), then f'(x)=g'(h(x))h'(x)

Step 2

By using the result that d/dx(csc^-1x)=-1/xsqrt(x^2-1)

y= csc(e")
dy
1
d
(e
dt
dt
dy
1
(e*)
dt
18t
-1
dt
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y= csc(e") dy 1 d (e dt dt dy 1 (e*) dt 18t -1 dt

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Step 3

Now, we use the result t...

dy
1
dt
1Sf
dy
1
e9Ve1st
dt
dt
-1
(6)
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dy 1 dt 1Sf dy 1 e9Ve1st dt dt -1 (6)

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Tagged in

Math

Calculus