...'s see what I get. dy/dx = dy/d

**u*** d**u**/dx we have: y = √(5**u**) and**u**= sin(x/5) to get dy/d**u**, we need to chain r**u**le that: y = √v and v = 5**u**dy/d**u**= dy...3 Answers · Science & Mathematics · 20/10/2020

y = uv y' = uv' +

**u**'v Let**u**= x Let v = cos x y' = x * (-sin x) + 1 * cos x y...2 Answers · Science & Mathematics · 19/10/2020

Altho

**u**gh P([I’ U S’] ∩ [I U S]) wo**u**ld make sense, P([I’ U ...2 Answers · Science & Mathematics · 18/10/2020

... in the United States and is the main product that

**U**.S. oil refineries produce. 0.1 mile = 160 m 140e9 gallons...2 Answers · Science & Mathematics · 18/10/2020

...m

**u**ltoplication sign .. if not then this is wrong this is a prod**u**ct r**u**le problem**u**= (3x^2+5)^3 d**u**/dx = 3*(6x)(3x^2+5)^2 v = (5x^4+2)^2 dv/dx = 2*(20x)(5x...2 Answers · Science & Mathematics · 17/10/2020

...simply the absol

**u**te val**u**e**u**n the**u**nsq**u**ared val**u**e. That is, √(**u**²) = |**u**| for any real n**u**mber**u**. So: g(x) = |x - 8| Write that...4 Answers · Science & Mathematics · 13/10/2020

... like your answer is wrong. 2 * sqrt(xy) + y + xy' = 0

**u**= sqrt(x * y)**u**^2 = x * y 2u ***u**' = x * y' + y 2u ***u**' - y = x * y'...2 Answers · Science & Mathematics · 13/10/2020

We see that if we let

**u**= y', we get a 1st order DE:**u**' =**u**². IWO, d**u**...2 Answers · Science & Mathematics · 13/10/2020

f(x) = sin^2[e^sin^2(x)]; P

**u**t**u**= e^sin^2(x),,,(1); f(x) = sin^2(**u**); (d**u**/dx) =**u***2sin(x)*cos(x) =**u***sin(2x); (df/dx) = (df/d**u**)(d**u**/dx); (df/d**u**) = 2sin(**u**)*cos(**u**) = sin(2**u**); (df/dx) =**u***sin(2**u**)sin(2x) where**u**is define in (1) above.2 Answers · Science & Mathematics · 12/10/2020

... the chain r

**u**le: y = (x² + 4x)^(1/3) Set this**u**p as: y =**u**^(1/3) and**u**= x² + 4x The chain r**u**le is: dy/dx = dy/d**u*** d**u**...8 Answers · Science & Mathematics · 13/10/2020