Find the values of x where the tangent line is horizontal for f(x) = 3x- 2x-9. %3D O A. x-0, x= ОВ. X30, х- 3 O C. x-0, x= 4 O D. x-0, x = - 9. N/3

Q: Estimate the slope of the tangent line of the function f(x) = 2e* at the point x = e. %3=

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Q: Find an equation of the tangent line to the graph of the function at the given point

A: To find the slope we find y' at x=0, y=0

Q: Find a formula for the error E(x) in the tangent line approximation for f(x)=√(1+x) near x=a=0 ?

A: Differentiate the function f with respect to x, to find f'(x). Substitute 0 for x in fx=1+x and…

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

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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: y = 7x + e5x ; (0, 1) %3D

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Q: For the function  y = (x2 + 2)(x3 − 9x),  at  (−3, 0)  find the following. (a) the slope of the…

A: (a) To find: The slope of the tangent line at -3,0. Given: The function is y=x2+2x3-9x. Concept…

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: Find the equation of the tangent line to the graph of f(x) = In x at xo = e 8.

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Q: Find the equation of the tangent and normal line of the function y³ + 3xy + x* = 5 at the point (1,…

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Q: Find the equation of the tangent line and the normal line to the graph of the function b) f(x) = x…

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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: For f(x)=x5, the instantaneous rate of change is known to be 405 at x=-3. Find the equation of the…

A: y=fx=x5instantaneous have of change is known to be 405 ,or x = -3∴ y=f-3=-35=-243

Q: Find the equation of the tangent line to the graph of f(x) = x'e- at x = 0.

A: The given function is f(x)=x9e-x at x=0.

Q: Find an equation of the tangent line to the graph of the function at the given point. y = ln(x7/2);…

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Q: For f(x)=x5​, the instantaneous rate of change is known to be 5 at x=−1. Find the equation of the…

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Q: Find an equation of the line tangent to f(x) at the point |3D 1+e

A: Find slope at given point and then use formula  to find tangent line

Q: 3. Find the slope of the tangent at x = 1 for y = ln(2x + 3) a) 2 b) = d) In(5)

A: As per Bartleby guidelines rule I am answering only first question as both question are different…

Q: If ƒ(x) = e" + x, find the slope of the tangent line to f-'(x) at a = 1.

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Q: Find the derivative of the function  y = ln(coth x)

A: Given that y=lncothx

Q: Find the equation of the line tangent to xe^1−x at x = 1 and x/e * ln x at x=e.

A: To determine the tangent lines to the curve using derivatives

Q: For f(x)=x3​, the instantaneous rate of change is known to be 3 at x=−1. Find the equation of the…

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Q: Compute f 1 (x) and find an equation of the tangent line to the graph at x = a. f (x) = x4 , a = 2

A: Consider the given function fx=x4  When x=2, then y=fx=24=16 Hence, point on the curve is 2, 16   To…

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: 3. For the fiunction g(x) = x - 2x² –1, at what tangent point(s) is the instantaneous rate of change…

A: given function :

Q: 17. For f(x) = x*, the instantaneous rate of change is known to be –32 at x = -2. Find the equation…

A: the given function is f(x) = x4 rate of change dydx=-32,          at x =-2

Q: Differentiate the functions and find the slope of the tangent line at the given  value of the…

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Q: For the function y = (x - 5)(x2 - 3x + 1) at (2, -3) find the following. %3D (a) the slope of the…

A: We have to find slope of tangent line and instantaneous rate for change..

Q: Find an equation of the tangent line to the graph of y = x(x + 1) at the point (3, 3072).

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Q: Find an equation of the tangent line to the curve at the  given point. y = x2 ln x, (1, 0)

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Q: 3. For the function g(x) = x' - 2x -1, at what tangent point is the instantaneous rate of change…

A: Instantaneous rate of change of f(x) at x=a is given by f'(a), where f'(x) is the first order…

Q: 7. Determine the equation of the tangent to the function E-2 f(x)=- at x= 1.

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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 line to the graph of f(x) = 6x ln(x + 4) at x = 4. y =

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Q: e. Find the equation of tangent line to the cubic x³+ 6x² + 10x + 8 parallel to the l y = x .

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Q: find the equation of the Tangent and normal line of the function y3 +3xy + x4 =5 at the point (1,1).

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Q: 5. Find the slope of the tangent line to the graph of r = 2-2cos e when 0 = に一2

A: We have given equation of graph r=2-2cosθ  We have to find slope of the tangent line to the graph…

Q: 2. Write the equation for both the tangent line and normal line to the curve y = (x – 1)/( + 1) at…

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Q: For the function  y = (x2 + 3)(x3 − 9x),  at  (−3, 0)  find the following. (a) the slope of the…

A: Given Data: Function: y = (x2 + 3)(x3 − 9x) Point: (x, y)=(-3, 0) (a) The derivative of the given…

Q: For the function y = (x2 + 4)(x - 4x), at (-2, 0) find the following. (a) the slope of the tangent…

A: Solution:-

Q: Find the equation of tangent and equation of normal for the implicit function y² +4xy = x+y, at the…

A: We have to find the equation of the tangent and equation of the normal for the implicit function y2…

Q: 9) Find the equation of the tangent line to: y = (1+x) e*when x=0

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Q: Find the equation of the tangent line to the function f (x) = e*²-1 ln(x + 1) when x= 0.

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

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Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = e-X…

A: Given: f(x)=e-xln(x)

Q: For the function y = (x2 + 2)(x3 - 9x), at (-3,0) find the following. (a) the slope of the tangent…

A: The given function is y=x2+2x3-9x. Differentiate fx with respect to x.…

Q: 2 2х + 2х +1 G(x) = Jsech(x) y e dy

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Q: Determine the equation of the tangent line to •x³ +ln x the graph of f(x) at x = 1. [² = √/3 + 5t5dt

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Q: To three decimal places, the slope of the tangent to the curve f (x) = log, x , at x = 2 is:

A: First we have to find the differential equation for slope of this function.