Directions: Please show all of the work that leads to your answe 3 -2 -4 X -1 0 2 g(x) 4 1 0 g'(x) -2 -6 -3 1) The table above gives selected values for a differentiable and decreasing function g and its derivative. Let f be the function with f(3) = 2 and derivative given by f'(x) = xcos (e*). a) Let h be the function defined by h(x) = g(f(2x)). Find h' (1.5). Express your answer as a decimal approximation to the nearest thousandth.
Directions: Please show all of the work that leads to your answe 3 -2 -4 X -1 0 2 g(x) 4 1 0 g'(x) -2 -6 -3 1) The table above gives selected values for a differentiable and decreasing function g and its derivative. Let f be the function with f(3) = 2 and derivative given by f'(x) = xcos (e*). a) Let h be the function defined by h(x) = g(f(2x)). Find h' (1.5). Express your answer as a decimal approximation to the nearest thousandth.
Chapter3: Functions
Section3.5: Transformation Of Functions
Problem 5SE: How can you determine whether a function is odd or even from the formula of the function?
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Transcribed Image Text:Directions: Please show all of the work that leads to your answer. Thanks!
-1
4
0
2
3
1
0
-2
-2
-6
-3 -4
1) The table above gives selected values for a differentiable and decreasing function g and its derivative. Let f be the
function with f(3) = 2 and derivative given by f'(x) = xcos (e*).
X
g(x)
Lg' (x)
a) Let h be the function defined by h(x) = g(f (2x)). Find h' (1.5). Express your answer as a decimal approximation to
the nearest thousandth.
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