Question

At what point on the curve
y = 5 + 2e^x − 4x
is the tangent line parallel to the line
4x − y = 2?

Answer 1

@jim_thompson5910

Answer 2

do you know what the derivative of \(y=5+2e^x-4x\) is? you need that first

Answer 3

2e^x-4x? @satellite73

Answer 4

not yet

Answer 5

@ybarrap

Answer 6

@Loser66

Answer 7

Help please^^

Answer 8

parallel lines have the same slope.

Answer 9

the derivative is fancy for the slope of a tangent line at a point on a curve,
compare that to the slope of that line

Answer 10

rephrasing the question

when is the first derivative of the curve the same value as the slope of the line given?

Answer 11

do you know how to continue now?

Answer 12

I am still confused, what do I find the slope of ? @triciaal

Answer 13

@DanJS

Answer 14

hi

Answer 15

I dont get this question

Answer 16

They give you some curvy function
y = f(x) = 5 + 2e^x - 4x

and a line (y = mx+b)
4x - y = 2 rearrange y = 4x - 2 slope m=4

Answer 17

They want the point (x,y) on that curvy f(x), where the tangent line has same slope m=4 of that other given line

Answer 18

got that so far?