Find an equation of the tangent line to the graph of y = f(x) at the given x. 14. f(x) = 1 at x = 4

Q: 1. Determine the approximate slope of the tangent to the curve 2х-1 f(x) = at x = -3, to 1 decimal…

A: Given query is to find the slope of the tangent.

Q: 21. Find an equation of the tangent line to the graph of f(x) = x² - 2x at (a) (–2, 8); (b) (1, –1);…

A: fx=x2-2x

Q: 1. Find the slope of the tangent line for the following function at indicated point: x² – 1 S(x) =…

A: Given function: fx=x2-1x+1 Simplifying the function: fx=x2-1x+1       =x2-12x+1Using: a2-b2=a-ba+b…

Q: 1. Determine the points where the slope of the tangent to the curve: a. f(x) = 1- 3x² is equal to 5…

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Q: How do I do this?

A: We are given a function and at a point

Q: Find a number a such that the tangent line to the graph v= 3x at x = a is parallel to the tangent…

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Q: Q1. Write down the linear (tangent line) approximation to y = e x / 2 at the point x = 0, and…

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Q: 2. Find the equation of the tangent line to the graph of the function at the indicated point. (a)…

A: Explanation of the answer is as follows

Q: 4. Determine the point(s) at which the graph of f (x) = has a horizontal tangent. Simplify as much…

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Q: 5. Find the equation of the tangent line to the graph of the function f(r) = 5- z at the point where…

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Q: Find an equation of the tangent line to the graph of  y = g(x) at x = 2 if g(2) = −3 and g'(2) = 4.…

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Q: Q3: Find an equation for the tangent line to the curve y = etan x at the point where x = 0

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Q: Find the slope of the tangent line to the graph of the function at the given point.

A: The slope(m) of the tangent line to the curve is nothing but the derivative of the function at the…

Q: 4. Find the value(s) of x at which the graph of the function g(x)=x'e has a horizontal tangent line.

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Q: 1 Find an equation of the tangent line to the graph of f(x) = c) at a) at (1,1); b) at 3, '27

A: Given - A Function To find - Its tangents at given points

Q: The slope of the tangent line to the graph of the function y = 9/T – 4 at (16, 32) is O 1.75 O 4…

A: The given function is: y=9x-4 Now, slope of the tangent is given by dydx=92x-0=92x

Q: 34. Find an equation of the line tangent to the graph of f(x) = (2x – 1)(x + 4) at (1, 5).

A: The objective of the question is find the equation of tangent at the point (1,5).

Q: Find the slope of the tangent to the graph of the following function at the point (e^2,4). Give your…

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Q: The equation of the tangent line to the graph of f(x)=ln|x at x = -2 is v=²(x+2)+n2 (a) TRUE (b)…

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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: Find the equation of the tangent line to the graph of f (x) = x² – 3 at the point (3, 6). Answer y =

A: Find the equation  of the tangent  line to  the graph  offx=x2-3   at the point  3,6Answer:We  have…

Q: 3x+ Find an equation of tangent line to the curve: f(x) = EGL

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: What is the slope of the tangent line to the graph of y=(x-1)/(x+1) at x=1? Selected Answer: [None…

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Q: Find the slope of the tangent line to the graph of the function at the given po y = e 5x y (0, 1) -2…

A: Given curve y=e-5x, point 0,1. Differentiation with respect to x we get…

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: 6. The tangent to the function f(x) = ke2x at x = has slope 2e. Find the value of k.

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Q: Determine the equation of the tangent line to the graph of y = f'(x) at the point where x = 1 if…

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Q: mine the value(s) of x where the slope of the tangent line is horizontal. Use exact valı…

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Q: Determine an equation for the tangent line to f-(x) at (4, 7) given that y-4= (x - 7) is an equation…

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Q: 7) Find the tangent line to the graph of f (x) = 3 – 4e * at x =0.

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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 a > 0 such that the tangent line to the graph of f(x) = x 2e-x at x = a passes through the…

A: fx=x2e-x Differentiating with respect to x, we get f'x=dx2dx·e-x+de-xdx·x2=2x·e-x-e-x·x2=x e-x2-x…

Q: What is the equation of the tangent line to the graph of f'(x) at x = 4, if f(x) = vx? O y = - + O y…

A: Topic:- application of derivatives and tangent equation

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = In x²;…

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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: Does the graph of Sxsin(1/x), x + 0 g(x) 1o. x = 0 |have a tangent line at the origin? Give reasons…

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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: The slope of the tangent line to the graph of the function y= 8/T-6 at (36, 42) is O -1.50 6 O 0.67…

A: Slove of the tangent to the function y at point (a,b) is m= y'(a).

Q: 5-Find the equation of the tangent to the function y = sin x at x = n/4

A: Given :y = sinx

Q: 4. Find the equation of the tangent line of the graph of f(x) = 12/T – 16 at the point where the…

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Q: Find the equation of the tangent line to the graph of f(x) at the (x, y)-coordinate indicated below.…

A: We have to find the equation of tangent line

Q: Finding derivative.

A: Given,

Q: Q4. Find the slope of the tangent line to the function f(x)= e* +3; x+2 at x=4 5x-10

A: Given : fx = ex5x-10

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: 3 Find the slope of the tangent to the graph of f(x) = /x+5 at the point where x= 4.

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Q: Find the slope of the line tangent to the graph of f(x) = -x-1 at x = -3. Provide your answer below:…

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Q: 13. Given the function f(x) = 4 + x? %3D Find the 8x + 2 equation of the tangent line to the curve 1…

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Q: Find the slope of the tangent line to the graph of f(x) = √√√x-2 at x = 6. Provide your answer…

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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.