# math

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I need help with this problem: finding the instantaneous rate of change of y with respect to x at the point x=5 if y=x^2/2+3/5x-1

I know I am suppose to find the determinant first then plug in 5...but I am not sure about the determinant

• math -

You meant "derivative" instead of "determinant"
The determinant has nothing to do with this.

dy/dx = x + 3/5

when x = 5
dy/dx = 5 + 3/5 = 28/5 or 5.6

• math -

wait, what happened to the -1?

• math -

or the 2 in the x^2/2?

• math -

...wait, duh, i figured out the x^2/2

• math -

I assumed you knew how to find the derivative of such a simple expression.
Remember the derivative of a constant is zero ,
if you want I could write it as
dy/dx = x +3/4 + 0

• math -

ohh okay, i forgot about that! thank u so much for helping me :)

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