For which values of x does f(x) = 3ex 6x have a horizontal tangent line?

Q: Find the exact slope of the tangent line to sin (x) y = f(x) = 2x + S at the point where x = 2

A: we have the function y=f(x)=2x+sin(x)2 we have to find slope at point x=π6

Q: Find the equation of the tangent line to the function f(x) = e*-1 In(x + 1) when x = 0.

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Q: For which value(s) of x does f(x)=−x^3/3−2x^2+3x−8 have a tangent line of slope 7?

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Q: Consider the graph of the function f(x) = ln(1 + x²) for x > 0. 1. Find f'(x). 2. At which value of…

A: Ta which value of x the slope of tangent line the greatest.

Q: Determine the slope of the tangent line to the curve (;² – 2x – 8) 2 -9 R(x) = at the point where…

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Q: Find an equation of the tangent line at x = 3, assuming that f (3) = 5 and         f ,(3) = 2.

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Q: For what value of x is the tangent line to the curve y= x2 –6x+5 horizontal?

A: We have to solve the problem

Q: Find an equation of the tangent line to the graph of y = f 1 (x) at x = 3, where f(x) = x 4.

A: Given: f(x)=x4 at x=3  To find the tangent line of the given function at x=3

Q: For what value of x is the tangent line to the curve y= x² - 6x +5 horizontal?

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Q: Find the equation of the tangent line to the graph of y = f(x) at r = 3. %3D f(x) = In(x – 6|) y =

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Q: find the equation of the tangent line to the curve when x has the given value f(x)=16/x ; x=2

A: To find the equation of tangent line to the below curve at x = 2.

Q: Find the equation of the tangent line to f-l x+4 at the point P (,0) for f(x) = 3x + 3

A: f(x)=(x+4)(3x+3)=x+13(x+1)+33(x+1)=13+1x+1 f'(x)=-1(x+1)2 f''(x)=2(x+1)3 the slope of the tangent at…

Q: Find an equation of the tangent line to the graph of f(x) = xe¯X at its inflection point. y =

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Q: What is the equation of the tangent line to the function f(x) = a? + 5x at the point (1, 6)?

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Q: Find the equation of the tangent line to the function f(x)=x2−x+2 at the point where x=−1

A: The given function is fx=x2-x+2 and the x-intercept of a point is x=-1. Evaluate the corresponding y…

Q: Find the equation of the tangent line to the curve f( x) = Assume f'( x) =- and x = 1.

A: Answer and explanation is given below....

Q: Find f(x) if f(1) = -1 and the tangent line at (x, f(x)) has slope 3ex+7 f(x)= ?

A: Given:

Q: Determine the equation of the tangent line to the function y = 2 + xe³x + x when x is equal to 0.

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Q: Find the equation of the tangent line to the curve f(x)= 1/(3x-1) at x=1

A: Given f(x)=13x-1Let y=f(x)Slope of tangent line to the curve f(x) at x=1 can be done by using…

Q: Find the equation of the tangent line to the functions: 2. f(x)= Vx+ 2 at x= 4

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Q: 2. Find the slope of the tangent line to the curve f (x) = -1 2 at x

A: Given: f(x)=2x

Q: Find all values of x where the slope of the tangent line to f(x)=4x^2−3x+2 is 0. x = ____

A: The detailed solution is given below Thank you

Q: Find an equation of the tangent line at x and f'(3) = 2. 3, assuming that f(3) = 5

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Q: Find the equation of the tangent and normal lines of f (x) = x* + 2x at x = -1.

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Q: Consider the function f(x) = 1/x and show it on grap. Find the equation of the tangent line at x =3.

A: Given function is fx=1x. To graph the function and the find the equation of the tangent line at x=3.…

Q: Find the equation of the tangent line to f(x) =x2-3x+1 / 2x-1 at the point x = 5.

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Q: 2 Find the slope of the tangent line to у 3 at X = 1 3 - х

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Q: If fx)=- has a tangent equation y/3-x+2 at x = 1, then the slope of the tangent line of f ( x) at…

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Q: Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = - 1- 2x Provide your…

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Q: Let f(x) = 3x^2 + x + 5. a) Find the equation of the tangent line at x = 10. b) For what value of x…

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Q: Find the slope of the tangent line to the given curve at x = 3: f(x) = -V8x + 1 %3D

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Q: (b) What is the equation of the tangent line for f(x) = x² – 1 at r = 4?

A: f(x) =x2-1

Q: Find the equation for the tangent line to the curve  y = f(x)  at the given x-value. f(x) = ex5 −…

A: The equation for the tangent line to the curve: (y - y1) = m(x - x1) m = f'(x)

Q: 2. Find the slope of the tangent line to f(x)=V4-V+5 at the point where x 4.

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Q: Find the equation for the tangent line to the curve y=f(x) at the give x-value. f(x)=ex^2-1 at x=1

A: equation of the tangent at the point ( x1,y1) with slope  y - y1 = slope ( x - x1)

Q: Find the values of x where the tangent line is horizontal. f(x) = x³ + 3x² – 12

A: The tangent line is horizontal when the slope is equal to 0 dy/dx = 0 y = x3+3x2-12 dy/dx = 3x2+6x…

Q: Find the equation of the tangent line to the function f(x)=2x2-x  at the point where x=−1. Give your…

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Q: Find all x-values where f(x) = (x² + 2x – 3)4 has a horizontal tangent line.

A: We find f ' (x) using the chain rule and the power rule. f(x)=(x2+2x-3)4…

Q: Find the equation of the tangent line to f(x) = x^2 −3x+5 at the point x = 3.

A: Given function , fx= x2-3x+5 at the point x=3 ,at x=3 , f3= 32-3x3+5             f3=9-9+5=5Hence ,…

Q: Determine the equation of the tangent line to f(x) = sin(x) at x = π/3

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Q: Find the equation of the tangent line to the curve f(x)= Va. Assume f'( x) 1 at x = 4.

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Q: 8. For the function f(x) = x2 - 2, find: a) The slope of a tangent line at x = a.

A: To find the slope of tangent line at x=a.

Q: ) Find the equation of the tangent and normal lines of f (x) = x* + 2x at x = -1.

A: Given:

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

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Q: Find the equation of the tangent line with values g(x)= squareroot x and f(x)= x2

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Q: Find the equation of the tangent line to f- at the point P (-3, 1) for f(x) = 3 1- 2x Provide your…

A: see below the answer and explanation

Q: Find the point on the graph of f(x)=ex for which tangent line to the graph there passes through the…

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Q: f2(x) = 2x³ – 4x² + 5.

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Q: Find the points on the graph of f(x) = where the tangent line is horizontal. x2+2

A: Given query is to find the points where tangent is horizontal.

Q: Find the equation of the tangent line to the function f(x) = 4* at x = 3.

A: The given equation is fx=4x and x=3 To find the equation of the tangent line. The formula for the…