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(1 point) Consider the function f(x) = 7x – 6 and find the following: a) The...
9. [-14 Points) DET Consider the following. + 7x + 7; Find f'(x). f'(x) = Find F"(-1). f(-1) = Find the slope and an equation of the tangent line to the graph of the function f at the point (-1,-). slope equation y =
Consider the following function. f(x) = x2 + 5x − 6 Find the average rate of change of the function over the interval [0, 1]. Change in y/change in x = Compare this rate with the instantaneous rates of change at the endpoints of the interval. f'(0) = f '(1) = Find the marginal cost for producing x units. (The cost is measured in dollars.) C = 455 + 6.75x2/3 dC/dx = dollars per unit
(1 point) Given the function f(3) = 3x2 + 2x - 3 find the following (a) the average rate of change of fon (-4,1): -7 (b) the average rate of change of f on [1, 2+h]: 1
x2 +7x+12 1. Consider the function: f(x)= x +3 a. Is this function continuous at x = -3? b. Does this function have a limit at x = -3? dito c. Is this function differentiable at x = -3? d. Sketch a graph of the function in the space below. Be sure to include all pertinent features.
Consider the following function. f(x)=−1−1/7x Step 2 of 2: Plot two points on the line to graph the function. WHAT ARE THE TWO POINTS ON THE GRAPH.
Find the function (fo h) and simplify. f(x) = 7x + 10, h(x) = Vx+6 (fo h)(x) = 12 (Simplify your answer.)
Find the average rate of change for the following function. f(x) = 4x3 - 5x2 +6 between x = -2 and x = 1 The average rate of change for f(x) over the interval - 2 to 1 is (Type an integer or a simplified fraction.)
(1 point) Suppose y = 7x In r. Find the differential: dy = dr. We were unable to transcribe this image(1 point) Consider the function f(x) = –2r3 +33x2 – 144x + 2. (a) Find all critical numbers c off. C= (b) f is increasing for re (c) f is decreasing for se Note: Input U, infinity, and -infinity for union, o, and -o, respectively. If there are multiple answers, separate them by commas. If there is no answer, input...
Find the derivative of the following function. f(x) = (2x - 3)(3x4 +7x) f'(x) = 2(3x4 + 7x)+(2x - 3)(12x3 +7) f'(x) = 2 + (12x3 + 7) f'(x) = 2(12x3 + 7) f'(x) = 2(3x4 +7x) – (2x - 3)(12x3 + 7)
Consider the parabola y = 7x - x2. Find the slope m of the tangent line to the parabola at the point (1, 6). using this definition: The tangent line to the curve y = f(x) at the point P(a, f(a)) is the line through P with slope m=lim x rightarrow a f(x)-f(a)/x-a provided that this limit exists. m = using this equation: m=lim h rightarrow 0 f(a+h)-f(a)/h m= Find an equation of the tangent line in part (a). y...