anonymous
  • anonymous
At x = 2, (dy)/(dx) =
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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jamiebookeater
  • jamiebookeater
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UnkleRhaukus
  • UnkleRhaukus
what is the formula for y
dumbcow
  • dumbcow
depends on what y(x) is ??
anonymous
  • anonymous
here was the first part Let y= 6 x^5 - 9. Find A, B, and C so that (dy)/(dx) = Ax^B +C

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anonymous
  • anonymous
A = 30 B = 4. C =0
dumbcow
  • dumbcow
use power rule dy/dx = 30x^4
UnkleRhaukus
  • UnkleRhaukus
\[y(x)=6x^5-9\] \[{dy(x) \over dx} =30x^4\] \[{dy(2) \over dx} =30 \times 2^4=30 \times 16=480\]
anonymous
  • anonymous
thank you very much
anonymous
  • anonymous
I was stuck
UnkleRhaukus
  • UnkleRhaukus
thinking about our answer to see if it makes sense, 480 is a big number , if that is our gradient at that point it is very steep but our equation for y is proportional to x^4 which gets large very quickly, so it makes sense that the slope is so steep

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