For the function f (x) = x + 5 In(x – 2), find the x-coordinate of the point where the tangent is making a 30 angle with the x-axis. %3D

Q: (a) If F(x) = 12x/(3 + x²), find F '(3) and use it to find an equation of the tangent line to the…

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Q: Find the slope of the tangent line to the graph of the function at the given point.    h(t) = t2 +…

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Q: For the function F(x) = [ 2|t|dt, find the tangent lines which are parallel to the bisector of the…

A: 1. Slope of equation is equal to dy/dx 2. Equation of line at point (a, b) and slope = m is :…

Q: For what values of a are the graphs of y = a* and y = 1 +x tangent at x = 0? Enter the exact answer.

A: Please see the explanation below

Q: For what value(s) of x does the graph of f(x) = 6x³ + 9x² – 216x %3D e a horizontal tangent?

A: To find the values of x does the graph of fx=6x3+9x2-216x have a horizontal tangent.

Q: Find all values of x for the given function where the tangent line is horizontal.

A: Consider the function: fx=x3-6x2+9x+1. The slope of the tangent of a function at any point is the…

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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Q: Find the equation of the tangent Iline for the function f(x) = at the point x = 1. Write in the form…

A: The objective is to find the equation of the tangent line for the function f(x)=2xx2+1 at the point…

Q: For the function ƒ(x) = x² – 11, find the equation of the tangent line at å = −12.

A: Given function f(x)=x2-11 We have to find the equation of tangent line at x=-12 Derivative of a…

Q: Find f'(x) and find the value(s) of x where the tangent line is horizontal. f(x) = Vx - 8x + 31

A: Given : f(x) = √(x2 - 8x + 31)  To find : f’(x)? values of x where tangent is horizontal.

Q: For the function P(x) = x3 – 8x, at the point (3, 3), find the following. (a) the slope of the…

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Q: Q2: Find the tangent line when the function 1- y= 4+Cot x -2Sec x and point ,0)

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Q: Find the equation of the tangent line to the graph of f (x) = Vx + 169 at the point (0, 13). Answer…

A: We havve to find the equation of the tangent line to the graph off(x) = x+169 at the point (0,13).

Q: a point on the cor ve y=x² - 2x -3 at which is parallel to Find the tangent line the X-axis

A: Given query is to find the the point where tangent line paray to x axis.

Q: For what value of x does the graph of f (x) = 6sinx + sin?x have a horizontal tangent?

A: Given , fx=6sinx+sin2xWe have find the value of x for which the function have a horizontaltangent…

Q: Consider the function f(x) = x² – 3x + 5. Out of all the many tangent lines of f (x), determine the…

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Q: Find all values of x for the given function where the tangent line is horizontal. 2 f(x) = Vx + 2x +…

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Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

A: Given f(x) = xx2+81Since slope of tangent at any point on curve is given by derivative of f(x) at…

Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

A: The tangent line is horizontal when the slope is equal to 0

Q: Given the function below f(x)=3√405x^3+324 Find the equation of the tangent line to the graph of…

A: Given:405 x3+324f(x)=3        at x=1

Q: Given that f(10)=10 and f′(10)=4, find an equation for the tangent line to the graph of y=f(x) at…

A: topic - equation of a tangent line

Q: "The slope of any tangent to the function f (x) = bª is negative."

A: First we have to find equation of the derivative of the given function.

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 : The function y=13x3-3x2+7x+16 and the tangent line has the slope m=2.  To find : The points…

Q: Given f(x) = 1/3x^3 - 2x^2 + 3x a) Find the value(s) of x for which the tangent is horizontal.

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Q: Find the slope of the tangent line to the graph of the function at the given point. 4x? + 3y² = 36…

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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: w For what values of x is the tangent line of the graph of f(x) = 6x' + 27x² – 71x – 54 - parallel…

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Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

A: Given- fx=xx2+49 To determine smaller x-value and larger x-value.

Q: Find the slope of the tangent at (0, f(0)), for the function, f(x)=/cos (2) + e

A: We have to find the slope of tangent at 0,f0 for the function: fx=cosx+e-x Here point is given as…

Q: for the following exercise, find the equation of the tangent line to the given function at the…

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Q: Find an equation for the line tangent to the graph of f(x) = 7re %3D at the point (a, f(a)) for a =…

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Q: Find the equation for the tangent to the curve y = exp [2x] at the point (9, e 162). f(x) = exp [2x]

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Q: For what values of x is the tangent line of the graph of f(x) = 6x + 18x? – 144x – 36 parallel to…

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Q: For the function y 6x + 4x + 6, at the point x = 4, find the following. %D (a) the slope of the…

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Q: Q3 Find the equation of the tangent line to the function f(r) =x+7 at r 1. Show your work.

A: f(x) =x3 +7 Let y = f(x) = x3 +7, we have to find the tangent at x=1 , so value of y at x=1 is  f(1)…

Q: Find the slope of the tangent line to the graph of the function at the given point.    f(t) = 3t −t2…

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Q: For the following exercises, find the equation of the tangent line T (x) to the graph of the given…

A: After finding the slope at the given point apply the point slope equation of line as I have done…

Q: - Find the value of 'a' for which the tangent to the curve f(x) = (a + 2) x³ − 3ax² + 9ax − 1 never…

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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…

A: The tangent line of a curve is a straight line that touches the curve's graph at a single point. The…

Q: Find the function f given that the slope of the tangent line to the graph at any point (x, f(x)) is…

A: f'x=lnxx

Q: Find the length of tangent FG F 5+x 2x -5 E

A: Length of tangents of radius is always equal.

Q: f (x) = 5cotx, x = ' %3D 4

A: We know slope of tangent line is f'(x) at x= π/4 Equation of tangent line at point (x1,y1) and slope…

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: ) Given that f(8) = 5 and f'(8) = 7 , find an equation for the tangent line to the graph of y = f(x)…

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Q: Find the point(s) on the graph of f where the tangent line is horizontal. (If an answer does not…

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Q: Given that f(−5)=−10 and f′(−5)=−2, find an equation for the tangent line to the graph of y=f(x)at…

A: Topic = Functions

Q: Find the equation of the tangent line to the graph of f (x)= 3e* +1_where x, = In 2.

A: As a first step we need to find the derivative of f(x) at the given point.

Q: Q1) Find the tangent y = vx2- x +7 at x = 2.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: The slope of the tangent line to the graph of the function y = 4/T-6 at (36, 18) is | 0 36.00 O0.33…

A: slope is the first derivative of the function with respect to x.

Q: Find the value of 'a' for which the tangent to the curve ƒ(x) = (a + 2) x³ − 3ax² + 9ax − 1 never…

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