sketch the approximate shapes of the graph of the two functions on the same axes without using a calculator. Explain how the graphs of f(x) and g(x) are different from each other and how could you obtain the graph of g(x) from the graph of f(x). Find the points of intersection of the curves, if any. f(x)=x^3 and g(x)=f(x+3)

Q: Find all relative extrema of the function f(x) = x4 - 4x2 + 2 by using the Second Derivative.

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Q: Find the derivative of the functions f(x)=(2x2-1)(x3+3)

A: We can make it easier for you.

Q: Find the points of inflection given the function: Given the function f(x) = 2x³+ 3x²-12x-9 Where…

A: For the inflection point, second derivative is equal to zero.

Q: Use the guidelines from section 4.5 to graph the function f(x) = x2/3 (6 – x)/3 For your…

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Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: By the fundamental theorem of calculus if we have F(x)=∫f(x)dx then F'(x)=f(x). In some cases an…

Q: Find the equation of the line tangent to the graph of the function at the indicated point. 5) f(x) =…

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Q: Find the slope and an equation of the tangent line to the graph of the function at the specified…

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Q: Find derivative of f(x) = (x^3-6)(x+5)

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Q: What is the slope of the line tangent to the graph of a function defined by f(x)= x² + √x at x=1?

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Q: Write the equation of the tangent and normal lines to f(x) at x – 1 x = = 4.

A: Consider the given function fx=x+1x-1 at x = 4. Tangent line: Obtain the y-coordinate of the point…

Q: Using the criterion of the first derivative, find the graph of the function: F(x) = 114 (x*) + 4,…

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Q: Find the equation of the tangent line to the graph of the function f (x) = (x2 +8) (x - 3) at the…

A: Given : f(x) = (x² + 8)(x - 3) at the point      (1, -18)

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: Find all functions ƒ whose derivative is ƒ'(x) = x + 1.

A: Given that f'(x)=x+1

Q: sketch the graphof the function and state its domain. f (x) = 4 ln(x − 2) + 1

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: 1. Find the slope of the line tangent to the graph of the function defined by f(x) = 4 + 2x - x2 at…

A: As you mentioned only 1 solved

Q: Find the derivative of the funchion f(x)=9x-5

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Q: What is the inflection point of the function f(x) = x5 ln(x)?

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Q: Find the slope m of the line tangent to the graph of the function f(x) = 5 - 6x at point (-1, 11)

A: Given:  f(x)=5-6x                y=5-6xDidderentating y=5-6x   with respect to 'x'  and substituting…

Q: find the derivative of the function f(x) = 7(x^3-x)^4

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Q: Suppose the derivative of the function y = ƒ(x) is y′ = (x - 1) 2(x - 2)(x - 4). At what points, if…

A: It is given that, the function f(x) has the derivative

Q: Find f'(x) from f(x)= = 2x³x²x+ 2 using the definition of a derivative. (Do not include "f'(x) =" in…

A: Use simple differentiation formula.

Q: Find the equation of the function f whose graph passes through the point ( 0, and whose derivative…

A: Given :

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

A: Given: f'(x)=-2x8-x2,    2,7 Integrate the given function to obtain the function f(x). The formula…

Q: Find the slope of the line tangent to the graph of the function defined by f(x) = 3x2 – 4 at (1,…

A: Solution:Given        f(x)=3x2-4   at (1,-2)To find:Slope of the line tangent to the graph The…

Q: Find the exact location of all the relative and absolute extrema of the function: f(x) = 5x^3 − 60x…

A: Given function f(x) Differentiate the function and make it equal to zero for critical points

Q: Determine the points at which the graph of the function has a horizontal tangent line. f(x)=…

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Q: f(x) =  3 − 3x − x2 x2 − 5  f '(x) =

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Q: Find the second derivative of the function. f(x) = 8x + 50x-2 f "(x) = %3D

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Q: Find the slope of the line tangent to the graph of the function defined by f(x) = x2 – 3x + 4 at…

A: It is given that, f(x)=x2-3x+4   Slope of any function or tangent of any function is defined as the…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: Find a formula for a function that has vertical asymptotes x = 3 and x = 9 and horizontal asymptote…

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Q: Find points of inflection of the function and determine the open intervals on which the graph is…

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Q: Find the derivative of the algebraic function. f(x) = (4 − 3x − x2)/(x2 − 1)

A: We have to find the derivative of the algebraic function: fx=4-3x-x2x2-1 Rewriting the function,…

Q: f (x) = - 4x² - 6x x²+3

A: The given function is f(x)=4x2-6xx2+3. Find the derivative of the function. Here we use the…

Q: 5. Sketch the graph of y = x3 + 5x2 + 3x - 4 by using the properties of the derivative.

A: Find f' (x) then we check f(x) increasing Or decreasing.

Q: Find the function with the given derivative whose graph passes through point P. F'(x)=2x-3, P(5,5)

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Q: Find the point on the line y = – 4x + 2 closest to the point (8, 9). - The function giving the…

A: Given, equation of line : y = -4x +2 And  The point : (8, 9) {outside the line}

Q: Find the slope of the line tangent to the graph of f(x) = 3x² - x- 5 at x = 1.

A: The equation of the curve is given by fx = 3x2-x-5 The point is x = 1 Formula Used: mtan = dfdxx=1…

Q: Find an equation for the function f that has the given derivative and whose graph passes through the…

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Q: Graph the tangent line to the function f(x) = –3x³ – 2x² – x + 3 at the point (-1, 5). Place point A…

A: Given that the function  is    f(x) = -3x3 - 2x2 - x + 3  Here we have to find the tangent line at…

Q: Evaluate the second derivative of the function at the given point f(x)=9/√x+9    (0,3)

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Q: Find an equation of the tangent line to the graph of f(x)=3x3+2x when x=1.

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Q: Find derivative of f(x) = x^4+8x-2

A: We have to find the derivative of  f(x) = x4 + 8x - 2 We know that if  f(x) = xn then  f'(x) = nxn-1…

Q: Apply your understanding of derivatives to determine any intervals of increase for the function…

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