Question

For what values of a and b are y = a bx and y = 2 + x tangent at x = 0.

Answer 1

it should be y=a*b^x

Answer 2

please clarify
you are asking Y=a*b^x to be tangent on Y=2+x at x=0..
OR
both Y=a*b^x & Y=2+x both be a tangent on x=0

Answer 3

y=a*b^x is tangent at y=2+x at x=0

Answer 4

i need to find the values for a and b

Answer 5

i know that the point is (0,4) and the derivative of of y=ab^x is y'=ab^x*ln(b)

Answer 6

so the slope at x=0 is 1

Answer 7

here derivative of y=2+x will give the slope of y=a*b^y

Answer 8

what?

Answer 9

why would you need the derivative of y=2+x

Answer 10

its just a line

Answer 11

see on derivating a function we get the slope of its tangent at a given point.

Answer 12

yeah but y=2+x is the line tangent to ab^x

Answer 13

according to you question "y=a*b^x is tangent at y=2+x at x=0 "this would be the approach.

Answer 14

no dude you dont know

Answer 15

you dont need the derivative of y=2+x we need the derivative of y=ab^x

Answer 16

yeah that i knw but in question u typed something else..anyways i will get back to u in 5 minutes ..need to solve on paper.

Answer 17

i did not!

Answer 18

okay.but plz clarify one more thing the curve is Y=a*b^x or y=(a*b)^x.?

Answer 19

i got it

Answer 20

dont wory about

Answer 21

my answer.a=2;b=e^0.5...is it correct?

Answer 22

yes

Answer 23

thanx.