...du = -40sin(z) dy/du = -40sin(4u) Now we have that. Now to get du/dx:

**u**= e^(7x) Again, another chain rule here:**u**= e^z and z = 7x du/dz = e^z and...4 Answers · Science & Mathematics · 03/10/2020

(d/dx)f(

**u**(ax)) = (df/du)(a du/dx) y = f(**u**) = 9cos(-5u) dy/dx = -9sin(-5u)(-5)(du/dx) = 45sin(-5u)du/dx**u**= e^(-12x) du/dx = -12e^(-12x) dy/dx = -540sin(-5u)e^(-12x) Substituting for...3 Answers · Science & Mathematics · 02/10/2020

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

... or B ) is the same as P(A

**U**B) This is a general rule P...which must have the same results. P(A**U**B) = P(A) + P(B...2 Answers · Science & Mathematics · 06/10/2020

... 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

Yes. And then you determine the leading coefficient so the y-intercept becomes 25. f(x) = a(x+2)^2 + 13 f(0) = 25 a = 3 There are many "

**U**shape" curves and I assume you do want the parabola.1 Answers · Science & Mathematics · 07/10/2020

...x + 2) to get this first derivative we need to

**u**se the q**u**otient r**u**le: if f =**u**/v, then f' = (**u**'v -**u**v') / v² So we can set**u**p o**u**r...1 Answers · Science & Mathematics · 01/10/2020

y = f(

**u**) = 11u-1;**u**= g(x) = -(8/7)x^6; (du/dx) = {d/dx}g(x) = -(8/7)*6x^5 = -(48/7)x^5; (dy/dx) = (dy/du)(du/dx) = (11)[-(48/7)x^5] = -(11*48/7)x^5 = -(528/7)x^5.2 Answers · Science & Mathematics · 02/10/2020

...'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

Solve this term by term. First term - chain r

**u**le x² sin(3x) =**u**d/d**u**(e^**u**) = e^**u**d/dx [e^(**u**)] = d/d**u**(e^**u**) * d**u**/dx**u**se prod**u**ct r**u**le to find d**u**...2 Answers · Science & Mathematics · 03/10/2020