For what value(s) of x does the function f(x)= 4x3-x2-2x+5 have a horizontal tangent line?  a.) x= -1/3 , 1/2 b.) 3, -2 c.) -3, 2  d.) 1/3, -1/2

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A: To find the slope of secant line PQ to  the function f(x)

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Q: a) Find the points on the graph of f(x) = 2x- 3r²- 12x + 8 where the tangent is 3. horizontal.

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Q: At which of the labeled points does f' (x) = 1? B

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Q: If f(x) = 3x? - x', find f'(1) and use it to find an equa- tion of the tangent line to the curve y =…

A: f(x)= 3x2-1f'(x)=3 (2x)-0        = 6xf'(1)=6 (1 )= 6

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Q: Find all values of x for which the tangent line of f(x) x2 + 18x + 96 is horizontal.

A: fx=x2+18x+96 Differentiating with respect to x, we get f'x=ddxx2+18x+96=12x2+18x+96·dx2+18x+96dx…

Q: Determine where, if anywhere, the tangent line to f(x)=x3−5x2+xf(x)=x3−5x2+x is parallel to the line…

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Q: For what values of x is the tangent line of the graph of f(x) = 2x – 6x² – 48x + 18 %3D parallel to…

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A: Given : f(x)= 3x4 +4x3-36x2+6343

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A: The given function is f(x) = 3(6x-2)4The slope m is obtained.

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Q: Pls help on this question. ASAP

A: Given the function f(x) = -x2 + 5 We need to find slope of the secant of f(x) between x= -2 and x =…

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A: The graph passes through (1,1). So at x=1, f(x)=1

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Q: The slope of the line tangent to the graph of f(x) = 19 – 4x² at the point x = -9 18 8 O 152 72 144

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A: fx=6x,   x=25,  x=36 When x=25,  f25=625=30 When x=36, f36=636=36 a). Equation of the secant line…

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Q: At what two points on the graph of f ( x ) = 2 x 3 - 3 x 2 - 8 x is the tangent line equal to 4?

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

A: Given: fx=x2x+8; 2,25 To find: Slope (m) and equation of the tangent line to the graph of the…

Q: Find all values of x for which the tangent line of f(x) = / x² + 18x+96 is horizontal.

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Q: The slope of a tangent for the function ,2 f(x) = x² – 8x +1 at (1,-6)

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Q: Graph the function f(x) = are -2 , 0, and 1. 3x and draw the tangent lines to the graph at points…

A: Given: f(x)=-3x2 y=-3x2  x=-2,0,1x=-2 ⇒y=-3(-2)2=-12⇒(-2,-12)y=-3(0)=0⇒(0,0)y=-3(1)2=-3⇒(1,-3)

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Q: Compute f '(x) and find an equation of the tangent line to the graph at x = a.

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Q: For what values of x is the tangent line of the graph of f(x) = 4x³ – 30x² + 73x parallel to the…

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Q: b) Let f(x) = 4x - 2x - 5. %3D Find the intersection of the tangent line at c = 2 with the x axis.…

A: Given: The function fx=4x3-2x-5, To find: The intersection point of the tangent line at c=2 with…

Q: Use any method to find the slope of the tangent line to the graph of the function f (x) = – at the…

A: Given function is fx=1x2. To find the slope of the tangent line at x=5. Solution: The slope of the…

Q: Find the equations of the two tangent lines to the graph of f that pass through the indicated point.…

A: f(x)  =  6x - x2                        f'(x)  =  6 - 2x slope of the lines…

Q: Determine the equation of the tangent of the function, f(x) = 4−x / x+2 at x = 2.

A: According to question,Given function,fx = 4-xx+2

Q: If the tangent line to y = f (x) at ( 5, 3) passes through the point (1, - 2), find f' (5)=

A: Given problem:- If the tangent line to y = f (x) at ( 5, 3) passes through the point (1, - 2) Find…