Question

using the information below, find dz/dt when t=0
z=ln(y)
y=6x^2+6
x=5t+1

Answer 1

Replace x into y
then y into z = ln (y)

Can you do it?

Answer 2

yes so for y i have y=150t+60t+12

Answer 3

Close, not could you re calculate?

Answer 4

but

Answer 5

Okie, I guess you just mistype
y = 150 y^2 + 60t + 12

Answer 6

I mean y = 150 t^2 + 60t + 12

Answer 7

yeah sorry i typed it in wrong. so after you plug it back in it should be z=ln(12)

Answer 8

Replace y = 150 t^2 + 60t + 12 into ln y !

Answer 9

Keep in mind, we're looking dz/dt which mean t is variable, not x, not y!

Answer 10

Are you stuck?