The range of y = cscx and y = sec x is: 0(-∞0, –1] U [1, ) O yɛ R ye R; y does not equal + 1 O(-00, -1) U (1, o0)

Q: f (x) = (4x + 5)* (x²? – 2x + 5)* Find the Derivative

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Q: For the function f(x) = -7 e X, find f"(x), f''(0), f'"(9), and f''(-9). f"(x) = (Type an exact…

A: The objective is to solve the above question.

Q: (8) Given x²/3-y²/3 - y = 3, find ae equation of the tangent line at the point (1,-1).

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Q: y y (x₁, y₁) f'(x₁) = ? ******** y = f(x) = ? (x₁, Yi) X y = f(x) ४ ✓ Choose... Ordinary…

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Q: (A) A = -2, B = -8 (D) A = 8, B = 2 f(x) = Let f: RR be the function defined by Ax³ + Bx+2 Br² - A…

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Q: a) Find 2 x-intercepts of the function f (x) = a² + 6x . The x-intercepts are and (write smaller…

A: a) The x-intercepts of a function is the points where the graph crosses x-axis . The values of y…

Q: # 41) Use the definition of derivative to find f(r) and "(r) for (r)= 1+ 4r- r

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Q: (2а + 5)10 (г — 3)° (4аг + 7)50 6. f(x)

A: Differenciation of f(x) with respect to x is given below

Q: Help Given f"(x) = 8x - 2 and f'(- 2) = - 2 and f( - 2) = 3. %3D %3D Find f'(x) = %3D and find f(3)

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Q: (늘 가 G-2). Find the value. A relative extrema of the function f occurs at f(x, y) = 9x2 + 3y2 - 9x +…

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Q: y=−x/3+4/3  the xx intercept = (   ,0) yy intercept = (0,)   The slope =

A: Given the equation of line  y = -x/3 + 4/3  we need to find xx intercept , yy intercept and slope of…

Q: Use the graph below to fill in the missing values. f(x) -1 4 f(0) = f(«) — 0, х 3 f -'(0) = f («) —…

A: To find f(0) we find y when x=0 At x=0, y=4 So, f(0)=4

Q: The finction f(x) = x3 + ax2 + b has a critcal point at (-2, 6). Find the constants a and b.   a.…

A: We have to find the value of a ,b for a given function.

Q: Plot the graphs of f(x) = x(x - 3) (x + 3) and g(x) = cos 2 x together on the same set of axes and…

A: In the question it is asked to draw diagram for f(x)=x(x-3)(x+3). Also it is asked to draw…

Q: Find y' for the function. (y-4)²-3x² y br |5

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Q: Sketch the graphs of the function f(x) = sin x .

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Q: Question 24 Find the derivative of y = 3 7 15 (3x²+2ax) (ax²-3r-a) 7 (2ax-3) 2 5(32²+2ax)…

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Q: Find y as a function of x if x²y" – 3xy – 12y = x², y(1) = -7, y(1) = -7. y =

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Q: Let g(x,y)=y−6/(x+2)^2 Indicate the range of g using interval notation

A: To find the range of the below function. gx,y=y−6x+22

Q: The graph represents the derivative f' of some function f. Use the given graph of f' to sketch a…

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Q: Esc [3] Use a first derivative test with a well written conclusion to state the local min and max…

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Q: 3a) Determine the equation of the tangent to f(x) = In(3x + 4), at x = 2. %3D Equation of Tangent:…

A: Please see the explanation below