Question: 4. If f is the function whose graph is shown, let h(x) - f(f(x)) and g(x) - f(x2). Use the graph to estimate the value

 4. If f is the function whose graph is shown, let

4. If f is the function whose graph is shown, let h(x) - f(f(x)) and g(x) - f(x2). Use the graph to estimate the value of each derivative. (a) h'(2) (b) g' (2 ) 5. Suppose f is differentiable on R and a is a real number. Let F(r) = f(1") and G(x) - [f(x)]". Find expressions for: (a) F' (x) (b) G'(x) 6. If g is a twice differentiable function and f(x) - g(x3) sin(x), find f" in terms of g, g', and g". 7. Let u(x) = f(g(x)). Find the following values using the graph below. (a) g(1) (b) g'(1) (c) u'(1) . Given the double angle identity cos(2.r) - cos?(x) - sin?(x), use differen- tiation to find an identity for sin(2x)

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