Find the first derivative of each of the following function and leave your answer in its simplest form:

i. y=2x^-5 + 3(sqrt x) - 8/7

dy/dx = -10x^-6 + 3/2 x ^(-1/2) ??

Question

Find the first derivative of each of the following function and leave your answer in its simplest form:

i. y=2x^-5 + 3(sqrt x) - 8/7

dy/dx = -10x^-6 + 3/2 x ^(-1/2) ??

anonymous · Answer

ii. r=((t³-2)/(4t⁵+19))
U=(t^3)-2    v= 4t^5 +19
du/dx=3t^2       dv/dx=20t^4

(v(du/dx)- u(dv/dx))/v^2

(4t^5 +19)(3t^2)-((t^3)-2 )(20t^4)
------------------------------
               ( 4t^5 +19)^2

12t^7+57t^2  -  20t^7 + 40t^4
----------------------------
              ( 4t^5 +19)^2

-8t^7+40t^4-57t^2
------------------
     ( 4t^5 +19)^2

t^2(-8t^5+40t^2-57)
-------------------
   ( 4t^5 +19)^2

anonymous · Answer

is my answers correct???