In Exercises 70-15, graphs of functions are shown in
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- Sketch the graph of a twice-differentiable function y = ƒ(x) that passes through the points (-3, -2), (-2, 0), (0, 1), (1, 2), and (2, 3) and whose first two derivatives have the following sign patterns.arrow_forwardIn Exercises 173–176, use theresult of Exercise 172 to find the derivative of the function. h(x)=|x| \cos xarrow_forwardDraw a graph to match the description given. f(x) has a negative derivative over (−∞,−3) and (3,∞) and a positive derivative over (−3,3), and f′(−3)=0, but f′(3) does not exist.arrow_forward
- find the derivative of g(x) = (x+5)/(5-2X) using the definition of the derivative. must show all steps.arrow_forwardIn Exercises 29-80, compute the derivative. 29. y = 3x 5 - 7x 2 + 4arrow_forwardwhat is an example of a composite "function-in-a-function" and find its derivative using the chain rulearrow_forward
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