mathcalculus
Help: Find the slope of the tangent line to the curve
(attached below)
Delete
Share
This Question is Closed
mathcalculus
Best Response
You've already chosen the best response.
0
mathcalculus
Best Response
You've already chosen the best response.
0
I'm a little confused, where do i know to put d/dx and when to directly do the derivative..
pgpilot326
Best Response
You've already chosen the best response.
0
use implicit differentiation to find dy/dx and exaluate at the given point.
mathcalculus
Best Response
You've already chosen the best response.
0
i did, but thats where im confused... it's like i can take the derivative of -3x^2 but then should i put d/dx next to it... or just simply leave it -6x
mathcalculus
Best Response
You've already chosen the best response.
0
im getting mixed up.
mathcalculus
Best Response
You've already chosen the best response.
0
then also 3xy... derivative or not... i know i have to put d/dx
pgpilot326
Best Response
You've already chosen the best response.
0
if it's a function of x then take the derivative of the function and multiply by its differential, dx. Same with y.
example.
for x^2 you'd get 2x*dx, for y^2 you'd get 2y*dy
pgpilot326
Best Response
You've already chosen the best response.
0
for xy, use the product rule. y*dx + x*dy
mathcalculus
Best Response
You've already chosen the best response.
0
right, okay. let me try again
mathcalculus
Best Response
You've already chosen the best response.
0
so first it would be -6x*d/dx right?
pgpilot326
Best Response
You've already chosen the best response.
0
no... just -6x*dx
mathcalculus
Best Response
You've already chosen the best response.
0
and what about the 3 do i leave it out? and use product rule with xy?
mathcalculus
Best Response
You've already chosen the best response.
0
ok....
pgpilot326
Best Response
You've already chosen the best response.
0
3 is a constant so it oges along for the ride. also, d/dx is an operator. it says to take the derivative of whatever follows wrt x.
pgpilot326
Best Response
You've already chosen the best response.
0
goes
mathcalculus
Best Response
You've already chosen the best response.
0
with respect to x..
mathcalculus
Best Response
You've already chosen the best response.
0
i dont know ive been using d/dx whenever i see an x and dy/dx for a y
pgpilot326
Best Response
You've already chosen the best response.
0
dx is the differential of x... the change in x, if you will
pgpilot326
Best Response
You've already chosen the best response.
0
you could do dx/dx everytime you take a derivative of a function of x and dy/dx for a function of y... that's okay. but dx/dx is just 1.
mathcalculus
Best Response
You've already chosen the best response.
0
ok yes:) now we're on the same pg
mathcalculus
Best Response
You've already chosen the best response.
0
for the middle part, is it, 3x*dx/dx+y*dy/dy?
pgpilot326
Best Response
You've already chosen the best response.
0
3y*dx/dx+3x*dy/dx
pgpilot326
Best Response
You've already chosen the best response.
0
= 3y + 3x*dy/dx
mathcalculus
Best Response
You've already chosen the best response.
0
oh+|
pgpilot326
Best Response
You've already chosen the best response.
0
i 've got to go... so you can at least check... you should get 3 as the final answer.
Good luck!
mathcalculus
Best Response
You've already chosen the best response.
0
thank you, i appreciate it.