Question

At x = 2, (dy)/(dx) =

Answer 1

what is the formula for y

Answer 2

depends on what y(x) is ??

Answer 3

here was the first part Let y= 6 x^5 - 9. Find A, B, and C so that (dy)/(dx) = Ax^B +C

Answer 4

A = 30
B = 4.
C =0

Answer 5

use power rule

dy/dx = 30x^4

Answer 6

\[y(x)=6x^5-9\]
\[{dy(x) \over dx} =30x^4\]
\[{dy(2) \over dx} =30 \times 2^4=30 \times 16=480\]

Answer 7

thank you very much

Answer 8

I was stuck

Answer 9

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