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  1. ...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

  2. (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

  3. Although P([I’ U S’] ∩ [I U S]) would make sense, P([I’ U ...

    2 Answers · Science & Mathematics · 18/10/2020

  4. ... 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

  5. ... the chain rule: y = (x² + 4x)^(1/3) Set this up as: y = u ^(1/3) and u = x² + 4x The chain rule is: dy/dx = dy/du * du...

    8 Answers · Science & Mathematics · 13/10/2020

  6. 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

  7. ...x + 2) to get this first derivative we need to use the quotient rule: if f = u /v, then f' = ( u 'v - uv') / v² So we can set up our...

    1 Answers · Science & Mathematics · 01/10/2020

  8. 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

  9. ...'s see what I get. dy/dx = dy/du * du/dx we have: y = √(5u) and u = sin(x/5) to get dy/du, we need to chain rule that: y = √v and v = 5u dy/du = dy...

    3 Answers · Science & Mathematics · 20/10/2020

  10. Solve this term by term. First term - chain rule x² sin(3x) = u d/du(e^ u ) = e^ u d/dx [e^( u )] = d/du(e^ u ) * du/dx  use product rule to find du...

    2 Answers · Science & Mathematics · 03/10/2020

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