Question
Asked Jun 21, 2019
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Find the derivative of y with respect to x

y = csc^(-1)(x^6 + 1), x> 0

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Expert Answer

Step 1

Find the derivative of the given function.

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y= cse (x +1), x>0 Differentiate with respect x on both sides. dy d dx dx (se (x +1) Let u x dy dx dx d (sc (u)) (ese (u) du dx du d (I+) ap I-"N (6x* + 0) dx 1 (0+9N 6x3

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Step 2

Substitute u in terms of x in order to...

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dy 6x3 dx +1)-1 6x5 (x +1)D 6 2x11 6x5 (x +1)r*® 6 6 2x6 6x5 (x+1)\hx* (x* + 2) 6 6x5 (x+1)(x*)a* + 6 6 6x2 (x ) 2

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Math

Calculus

Derivative

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