Please answer the following questions with work/explanation. Evaluate The equati
ID: 2835999 • Letter: P
Question
Please answer the following questions with work/explanation.
Evaluate The equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -3 and g'(2) = 6 is y = If the tangent line to y = f(x) at (5, 14) passes through the point (0,4), then f(5) = and f'(5) = represents the derivative of the function f(x) = at the number a = represents the derivative of the function at the number a = represents the derivative of the function f(x) = at the number a = Evaluate the limit If , f('(x) = If f and g are the functions whose graphs are shown below, let u(x) = f(g(x)) and v(x) = g(f(x)).Explanation / Answer
1)4
2)
(a)y = 6x-15
(b)f(5) = 14, f'(5) = 2
3)f(x) = x^14, a = 1
4)36
5)f(x) = 2^x, a = 4
6)0.1
7){1 + 5/[(x^0.5+5)^2 * x^0.5]}
8)g'(pi/6) = -[5*3^0.5 +7]/2,
h'(pi/6) = [5*3^0.5 +7]/98
9) -1
10)u'(3) = 2, v'(3) = 0
11) f'(2) = -4000/1201