Question: 4. Consider the graphs off and g as given. Let M1?) = f (%Z) a. Find h'(x), the derivative of h(x). b. Evaluate h'(2). 5.

4. Consider the graphs off and g as given. Let M1?) = f (%Z) a. Find h'(x), the derivative of h(x). b. Evaluate h'(2). 5. Consider the implicitly dened curve 2x3 + 2313 93:}! = 0. a. Use implicit differentiation to nd :xy. b. Find the equation of the tangent line at the point (2, 1). c. Sketch a well-drawn and carefully labeled graph of the curve and the tangent line from part b. d. Find all of the points on the graph where the tangent line is horizontal. Show your reasoning carefully. HINT: From the graph of the curve, it should be evident that there are 2 such points. F ind them carefulb using calculus and algebra
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