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Let f be the function defined by f(x) = cos(2x) + esin(z). Let g be a differentiable function. The table below gives the values of g and its derivative g' at selected values of z. g(z) g'(z) -53-3 -461 -5 4 31 1-2 00-3 Let h be the function whose graph, consisting of line segments, is shown in the figure below. امن -3 -2 -1 Graph of h -5 -4 -3 -2 -1 5 A 3 2 7 2 w (a) Find the slope of the line tangent to the graph of fat z = . (b) Let k be the function defined by k(z) = h(f(z)). Find k'(). (c) Let me be the function defined by m(x) = g(-21)-h(z). Find m²(2).

Let f be the function defined by f(x) = cos(2x) + esin(z). Let g be a differentiable function. The table below gives the values of g and its derivative g' at selected values of z. g(z) g'(z) -53-3 -461 -5 4 31 1-2 00-3 Let h be the function whose graph, consisting of line segments, is shown in the figure below. امن -3 -2 -1 Graph of h -5 -4 -3 -2 -1 5 A 3 2 7 2 w (a) Find the slope of the line tangent to the graph of fat z = . (b) Let k be the function defined by k(z) = h(f(z)). Find k'(). (c) Let me be the function defined by m(x) = g(-21)-h(z). Find m²(2).

Calculus For The Life Sciences
Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter4: Calculating The Derivative
Section4.2: Derivatives Of Products And Quotients
Problem 35E
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Let f be the function defined by f(x) = cos(2x) + sin(z) Let g be a differentiable function. The table below gives the values of g and its derivative g' at selected values of . g(x) g'(x) I -5 -4 ا -3 3 -3 -1 6 -5 4 3 1 1 -2 00 -3 Leth be the function whose graph, consisting of line segments, is shown in the figure below. Graph of h -5 -4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 3 4 (a) Find the slope of the line tangent to the graph of fat x = π. (b) Let k be the function defined by k(z) = h(f(x)). Find k'(n). (c) Let m be the function defined by m(x) = g(-2x) - h(z). Find m²(2).
Transcribed Image Text:Let f be the function defined by f(x) = cos(2x) + sin(z) Let g be a differentiable function. The table below gives the values of g and its derivative g' at selected values of . g(x) g'(x) I -5 -4 ا -3 3 -3 -1 6 -5 4 3 1 1 -2 00 -3 Leth be the function whose graph, consisting of line segments, is shown in the figure below. Graph of h -5 -4 -3 -2 -1 5 4 3 2 1 -1 -2 -3 3 4 (a) Find the slope of the line tangent to the graph of fat x = π. (b) Let k be the function defined by k(z) = h(f(x)). Find k'(n). (c) Let m be the function defined by m(x) = g(-2x) - h(z). Find m²(2).
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