Experiment 1: Slide the blue circle on the parabola to the point (-2, 4). 1A. Does the slope of the tangent line appear to be positive, negative, zero or undefined? 1B. State the slope of the tangent line as rise/run. 1C. The equation of the parabola is f(x) : = x^2-x-2. Calculate the derivative f'(x). Evaluate f'(-2) and state its value. 1D. Compare the slope rise/run to f'(-2). How did they compare? Were they the same or different?

Q: Given functions f and g for which f(- 6) = 1, ƒ'( – 6) = 1, g( – 6) = 6, and g'(- 6) = 2. Evaluate…

A:

Q: Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: The implicit differentiation of the function is derivative of two variable function with respect to…

Q: a).Find x value where the graph has a horizontal tangent line. f(x) = x^3 + x Using the fact that…

A: The given function is  f(x) = x3 + x Differentiate with respect to x , we get f'(x) = 3x2 + 1

Q: Determine the equation of the line tangent to the graph given by y = at the point x +1 (4, }).

A: To find the equation of the line tangent to the graph y=xx+1 at the point 4,25

Q: Find the derivative of the function. y = 9 arcsin) – x/9 – x² Step 1 Rewrite the given function y =…

A: Given: --------------------------------------------------------------------------------------------…

Q: Given the quadratic function in blue and the line tangent to the curve at A in red, move point A and…

A: Detailed solution is given below

Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

A: Given- fx=xx2+49 To determine smaller x-value and larger x-value.

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point. ху %3D…

A: In this question we have dydx and slope.