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mathcalculus
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Help: Find the slope of the tangent line to the curve
(attached below)
 11 months ago
 11 months ago
mathcalculus Group Title
Help: Find the slope of the tangent line to the curve (attached below)
 11 months ago
 11 months ago

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mathcalculus Group TitleBest ResponseYou'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..
 11 months ago

pgpilot326 Group TitleBest ResponseYou've already chosen the best response.0
use implicit differentiation to find dy/dx and exaluate at the given point.
 11 months ago

mathcalculus Group TitleBest ResponseYou'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
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
im getting mixed up.
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
then also 3xy... derivative or not... i know i have to put d/dx
 11 months ago

pgpilot326 Group TitleBest ResponseYou'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
 11 months ago

pgpilot326 Group TitleBest ResponseYou've already chosen the best response.0
for xy, use the product rule. y*dx + x*dy
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
right, okay. let me try again
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
so first it would be 6x*d/dx right?
 11 months ago

pgpilot326 Group TitleBest ResponseYou've already chosen the best response.0
no... just 6x*dx
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
and what about the 3 do i leave it out? and use product rule with xy?
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
ok....
 11 months ago

pgpilot326 Group TitleBest ResponseYou'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.
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
with respect to x..
 11 months ago

mathcalculus Group TitleBest ResponseYou'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
 11 months ago

pgpilot326 Group TitleBest ResponseYou've already chosen the best response.0
dx is the differential of x... the change in x, if you will
 11 months ago

pgpilot326 Group TitleBest ResponseYou'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.
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
ok yes:) now we're on the same pg
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
for the middle part, is it, 3x*dx/dx+y*dy/dy?
 11 months ago

pgpilot326 Group TitleBest ResponseYou've already chosen the best response.0
3y*dx/dx+3x*dy/dx
 11 months ago

pgpilot326 Group TitleBest ResponseYou've already chosen the best response.0
= 3y + 3x*dy/dx
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
oh+
 11 months ago

pgpilot326 Group TitleBest ResponseYou'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!
 11 months ago

mathcalculus Group TitleBest ResponseYou've already chosen the best response.0
thank you, i appreciate it.
 11 months ago
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