Let F(x,y)=g(x)+h(y). Then F,(x, y) = g'(x) F. (x, y) + F,(x, y) = F(x, y) F,(x, y) = 0 F (x, y) = g'(x) + h(y)

Q: Calculate r' (t) and T(t), where r(t) = (2t - 7,2 – 5t, 3 + 5t). r' (t) = (2 T(t) = -5 5

A:

Q: Find f'(2), where f(t) f'(2) = = u(t) · v(t), u(2) = (2, 1, −2), u'(2) = (7, 1, 8), and v(t) = (t,…

A:

Q: Find f', f'', f''' and f (4) for the function. f(x) = x° + 3 + 3x + 1 %3D f'(x) = Preview f''(x) =…

A:

Q: = f(x) g(x) If f and g are the functions whose graphs are shown, let u(x) = f(x)g(x) and v(x) = y 6…

A: The given graph of the functions is shown as,Let,Note:  As mentioned in the instruction, we are…

Q: Find f'(2), where f(t) f'(2) = = u(t) · v(t), u(2) = (1, 2, -1), u'(2) = (9, 1, 6), and v(t) = (t,…

A:

Q: Find f'(3), where f(t) = u(t) · v(t), u(3) = (1, 2, -1), u'(3) = (5, 1, 4), and v(t) = (t, t², t³).…

A:

Q: An object is traveling along the line y = 2x + 1 heading up and to the right. If the temperature at…

A:

Q: Let F(2) = f(x) and G(x) = (f(x)) - You also know that a = 2, f(a) = 2, f'(a) = 7, f'(a³) = 15. Find…

A:

Q: Differentiate h(t) = (rª – 4)³(1³ + 4)ª. h'(t) =

A:

Q: Let r(x) = f(g(x)) and s(x) = g(f(x)), where f and g are shown in the figure. Find r'(1) and s'(4).…

A: