Implicit Differentiation - Differential Calculus

A tutorial video about how to perform implicit differentiation. The video has 9 examples plus 1 take home problem.
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[@hanskhristianeong565]

(x^2) [ -sin(y) y^I ] + cos(y)(2x) = cos (y^3 + 4x) (3y^2 y^I + 4)
-x^2 sin(y) y^I + 2x cos(y) = [ 3y^2 cos(y^3 + 4x) ] [4cos( y^3 + 4x)]
y^I = 2x cos(y) - 4cos (y^3 + 4x) / 3y^2 cos(y^3 + 4x ) + x^2 sin(y)
tama po ba Sir?

[@cariagajadekarenc.6159]

Ni-solve ko po ulit kasi mali yata yung una kong answer.
Ito po yung final answer ko sir:
y¹= 2x cos (y) - 4 cos (y³+4x) / 3y² cos (y³+4x) + x² sin (y)
Tama po ba yan sir?

[@janzeusespinolaaragon8020]

y'= -4cos/cos3y^2-2xcosy po ba sir?

[@santosgemjeremym.3699]

Easy

[@abatandchill]

Good for you!

[@kelvinjaypajuelas5936]

Can you help me with this one
Integral of dx/[x²(4+x³)^⅔]

[@christianjosephmondejar4383]

Bat dalawang beses na derive yung y sa introduction

[@jkheincritan3573]

y'= 4cos(y³+4x)-x²sin(y)/2xcos(y)-3y²cos(y³+4x)
tama po ba answer sa assignment?

[@franchezkalo4564]

y’= [2xcosy - 4cos(y^3+4x)]/[3ycos(y^3+4x) + x^2siny]
Tama po ba sir?