For the function, find the points on the graph at which the tangent line is horizontal. If none exist, state that fact. y= 3x+6

Q: For the function fo-4+53+ 445, find the slope of the tangent ine at N 2

A: The function is given by f(x) = 4x3+53x+445 To evaluate: The slope of the tangent line to the graph…

Q: Find the x-coordinate on the graph of f (x) = x ³ – 12 x where the tangent is horizontal. A) 1,-1 B)…

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Q: For the function f(x) 5x3 – 8x? + 8x, Step 2 of 2: Find the equation of the tangent line at x = 1

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Q: For the function, find the point(s) on the graph at which the tangent line has slope 13. y =…

A: Given: y=-0.025x2+9x To find the slope of tangent we need to differentiate the given curve equation…

Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

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

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Q: Find the slope of the following curve at x=5 y=1/x-3

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Q: Suppose the slope of the curve y = f'(x) at (4, 7) is §. Find f'(7).

A: Given slope of the curve y=f-1(x) at (4,7) is 45

Q: Let P(x) = 7x² + 6. Estimate the slope of the tangent line of this function at the point x = 3.…

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Q: For function, find (a) the equation of the secant line through the points where x has the given…

A: Given : fx=-3x+1 ; x=1, x=5 To find : a) the equation of the secant line through the points where x…

Q: 57. y = x4 – 8x² + 2 58. y = x³ + x 59. у 3 .2

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Q: For f(x)= 1 / 17+x2​, the slope of the graph of y=f(x) is known to be −3 / 128 at the point…

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Q: For the given function, find the points on the graph at which the tangent line has slope 1.…

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Q: For what values of does the graph of f(x) = x +2Sinxhave a horizontal tangent?

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Q: The line tangent to the graph of ƒ

A: formula used: The equation of the tangent line at (x1, y1) is y-y1=m(x-x1) where m is the slope of…

Q: For the function f(r) = - 2x – 5x, f(r + h)- f(r) evaluate and simplify: h Find the value of the…

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Q: For the​ function, find the points on the graph at which the tangent line is horizontal. If none​…

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Q: Find a function y = ax? + ba + c whose graph has an x-intercept of 1, a y-intercept of –5, and a…

A: Note:- According to our guideline i didn't solved multiple questions, so please again repost the…

Q: For function, find (a) the equation of the secant line through the points where x has the given…

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

A: In this question we need to find a slope of the line

Q: Given that f(4) = -8 and f'(4) = –6 , find an equation for the tangent line to the graph of y = f(x)…

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Q: A. Plot the following function with clearly labelled axis. x(t) = [1, -2<tsxl, and [0, otherwise]

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Q: If f(x) = 9x^2 - x^3, find f'(1) and use it to find an equation of the tangent line to the curve y =…

A: Consider the given curve fx=9x2-x3

Q: Determine the point(s), if any, at which the graph of the function has a horizontal tangent line.…

A: for horizontal tangent f'(x) = 0

Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

A: For horizontal tangent line  f'(x) =  0 Which means slope is zero .

Q: For the function f(z) = 3x- 2x +2, f(r + h) - f(x) evaluate and simplify: 4: Find the value of the…

A: Here, f(x)=3x2-2x+2

Q: Let P(x) = 5x² + 6. Estimate the slope of the tangent line of this function at the point x = 4.…

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Q: For the function f(x) = - 4x, make a table of slopes of secant lines and make a conjecture about the…

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Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

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Q: write the equation of the tangent line to the curve y=x^3+xat the points where the slope is 4.

A: We have given,

Q: Let P(x) 5x2 + 7. Estimate the slope of the tangent line of this function at the point x = 6. (Give…

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Q: For what values of x does the graph of f(x) = x3 + 3x 2 + x + 3 have a horizontal tangent?

A: the given function is: fx=x3+3x2+x+3 we have to determine for what values of x does the graph of…

Q: For function, find (a) the equation of the secant line through the points where x has the given…

A: Given f(x)=x2+x, x=3, x=6

Q: Consider the following function h(r) = -3r - 5x* +20z + 60r. Find the point on the graph of h(r)…

A: Inflection points are the points on the graph of a function where its curvature changes from concave…

Q: For the function, find the point(s) on the graph at which the tangent line has slope 2. 1 y=x²-3x²…

A: Given y=13x3-3x2+7x+16 &amp; m=2To find point on the graph: Rules of differentiation: (1)…

Q: Graph the function f(x)=−4x2f(x)=-4x2 and draw the tangent lines to the graph at points whose…

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Q: For the function f(x) = 3x² + 2x + 1, evaluate and simplify: f(x+h)-f(x) h Find the value of the…

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Q: Find the point on the graph of the given function at which the slope of the tangent line is the…

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Q: For the function, find the points on the graph at which the tangent line is horizontal. If none…

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

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Q: For the graph of f(x) = x-7x² -6x +5, find the value(s) of x for which the tangent to the curve is…

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Q: For the function f(x)= 3x² +2x–1, Find the equation of the line tangent to the curve at x = -1 2.

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Q: Find the slope of the line that is tangent to the graph of f (x) 2a-3 at P(3/2, 0) О -3/4 O 2 O (E)…

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Q: Q2/ Find the slope of the tangent to the curve at x = 8 4 + पड़े + y = 3x5 + 2³√x+2+√5 X-Y 3x²

A: We know that slope (m) of the tangent to the curve y=f(x) is :  m=dydx We have y=3x5+2x3+13x2+5

Q: If f(x) = 9x^2 - x^3, find f’(2) and use it it find an equation of the tangent line to the curve y =…

A: Givenf(x)=9x2-x3

Q: Sketch the following function y = x² + 2x. a) Next, find the slope of the tangent line to the…

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Q: For the​ function, find the points on the graph at which the tangent line is horizontal. If none​…

A: To locate the points on the graph where the tangent is parallel to the x -axis

Q: For f(x): 1 -x² + x + 2, find: a) the equation of the line that is tangent to the graph of f at the…

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Q: For the function f(x) 5x³ – 8x² + 8, , Step 1 of 2: Find the slope of the tangent line at x = 1.

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: