Implicit Differentiation - More Examples

[roma]

how did you get sec(xy)tan(xy). The derivative of sec is SecxTanx? right?

[schoolissoboring]

I love how you write everything else. My professor just assume we knew and skip like 2 steps and arrive at the answer. -__-

[tsconner]

Thanks Patrick for taking the time to make all of these videos. I look you up all through my semesters in Calculus.

[domingoroiggarcia]

Ver sufrir a tiernos infantes, inocentes, aterrados y perplejos ante lo que para ellos no tiene explicación ni razón de ser y les está hiriendo y matando es algo que jamás puede el corazón ni la mente humana pasar por alto como si tal cosa; y aquí no hay ni razas, ni ideologías ni 'noñerías' de ONG ansiosa de ayudas económicas. Es un crimen, pero contando a todos los niños y niñas del mundo. Ahora bien, cada palo debe aguantar su vela, y, en este caso, un estado democrático con dirigentes elegidos libremente por su pueblo (aunque, a otros ojos, equivocadamente) se está defendiendo (según su propia "Sharía": "ojo por ojo y diente por diente") de unos criminales que no sólo atacan cobardemente a inocentes, violan y denigran a jóvenes mujeres con risas y fiestas y asesinan a bebés y niños de los "enemigos" (y a otros que no lo son tanto), sino que tienen al pueblo palestino de la "Franja" sometidos bajo el imperio del terror; eso es lo único que nuestra izquierda debe ver. No se puede apoyar a terroristas sólo porque Israel es rico y no mola ir a favor del rico. Los de Hamás sólo entienden de terror, no tienen amigos, aunque Sánchez se lo crea. Que les pregunten a los "otros palestinos". La izquierda siempre, por desgracia, se ha alineado con los malos y eso pasa factura; ir conta EE.UU. no debe implicar nunca juntarse con lo indeseable, hay otros cauces...

[Zeke]

Would you consider more examples of Differentiation By Parts? Somewhat hard examples? I'm getting stuck on more complicated problems with that.

[hardstylekid]

@JepMcFly implicit differentiation is useful when differentiating an eqn_ that cannot be explicitly differentiated because its impossivle to isolate variables. one use is in the inverse trigonometric functions namely, arcsine, arccosine, arctangent these are the functions that allow you to determine the angle given the sine, cosine, or tangent of that angle. As for real life use i havent gotten that far in the course at uni, so don't really know if its used in physics or not

[soccerbooily]

you are the F.C. Barcelona of math!! you make it look so simple and easy and im thankful for you and your ability to make these videos and help so many people out. Thanks patrick!

[pon]

Could you please do more videos on second fundamental theorem of calculus?
what it is..and few examples? thank you so much for doing this

[raydredX]

@hardstylekid123 I found the solution of the classical Gravitational Two-Body Problem to use it.

[Briansampson]

You teach it in a way that is so much simpler than my teacher's or especially the horrible book examples!

[MrUmmuluddin]

can u help me with this question, find second derivatives of sin y + cos y = x
thanks :)

[vitaminaj]

haha it looks like "sexy" is written everywhere....but seriously. Great vid.

[radiodjcy]

yes please, can you answer the use of the implicit diff?? please

[MrDevin]

King of the castle, king of the crop.

[jpmoench]

What a great example. thanks Patrick!!

[dagrainpettigrew]

The sec(xy)tan(xy) can't cancel out?

[hurrdurr]

why does e^y just multiply by dy/dx? you don't bring the y down?