Asked Jun 21, 2019

Find the derivative of y with respect to x

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


Expert Answer

Step 1

Find the derivative of the given function.


Image Transcriptionclose

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

Step 2

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


Image Transcriptionclose

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


Want to see the full answer?

See Solution

Check out a sample Q&A here.

Want to see this answer and more?

Solutions are written by subject experts who are available 24/7. Questions are typically answered within 1 hour.*

See Solution
*Response times may vary by subject and question.
Tagged in




Related Calculus Q&A

Find answers to questions asked by student like you
Show more Q&A

Q: The equation abs(y/a)^n + abs(x/a)^n = 1, where n and a are positive real numbers.  Make a complete ...

A: The equation abs(y/a)^n + abs(x/a)^n = 1,


Q: The rate at which blood pressure decreases in the aorta of a normal adult after a hearbeat is dp/dt=...

A: It is given that rate at which the blood pressure decreases in the normal adult is dp/dt=–46.645e–0....


Q: Use the second derivative test to identify any critical points and determine whether each critical p...

A: We  have to find any critical points and determine whether each critical point is a maximum, minimum...


Q: find the exact length of the curve of the equation in the picture below make sure to show all work

A: The given curve equation is,


Q: Let R be the region bounded by the following curves. Find the volume of the solid generated when R i...

A: The given curves are y=x, y=4x, y=16.The graph of the region formed by these curves is,


Q: Please help

A: Since f(x0,y0) is minimum of f(x,y). Then g(0) is minimum of g(t). That means g(0)<g(t) for t any...


Q: I need help on how to contruct the definite integral needed to find the area of the geometric shape ...

A: Formula of area of triangle is = (1/2)*b*h, where b=base, h=height 


Q: Evaluate the following integral as written. Please refer to attached image.

A: It's  aquestion of double integral. We will first evalaute the integral with respect to x, put the l...


Q: Logarithmic Differentaition - see attachment

A: Given information:The given function is