Given the function below 3, f(x) = V- 324x° + 1053 Find the equation of the tangent line to the graph of the function at x = 1. Answer in mx + b form. L(x) = Use the tangent line to approximate f(1.1). L(1.1) = Compute the actual value of f(1.1). What is the error between the function value and the linear approximation? Answer as a positive value only. Terror| 2 (Approximate to at least 5 decimal places.)

Q: If the slope of the tangent line to the graph of y%3f(x) at x-Da is m(a)%=D2a+1, and f(1)=5, then…

A: Given: If the slope of the tangent line to the graph of y=fx at x=a is ma=2a+1and f1=5. To Find: f2…

Q: find the equation of the tangent line at x=-6 for f(x)=x^3/2. write the answer in the form y=mx+b

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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=2 and y=1 so the slope is 2

Q: Find the equation of the tangent line to the graph of the function f (x) = V 4x4 +12 at the point…

A: Given: The equation of a function is, f(x)=4x4+12. The objective is to find the equation of…

Q: Find h'(-2) if h = f • g, f(x) = -6x2 – 4 and the equation of the tangent line of g at -2 is y = -9x…

A: Slope of y=-9x+6 is = -9 This line is tangent to g at x=-2  So we get: g'(-2)= -9   The tangent line…

Q: Determine the equation of the tangent line and the quadratic approximation to the function z = e2"…

A: Given function is: z=e2x To find the equation of the tangent at a point x=x0 to curve y=fx,…

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: Find the equation of the tangent line to the graph of f (x) = -4e2* at the point (0, -4). Hinti Sh

A: Explanation of the answer is as follows

Q: Find an equation of the tangent line to the graph of the function at the given point.   y = (e3x −…

A: Given,  The equation of the curve y = e3x-42  We have to find the equation of the tangent line at…

Q: Find the equation for the line tangent to g(x) rcos(x) at x = 0

A: Given:The function g(x) = (x cos(x))/(x+2).Obtain the tangent line for the above function at x = 0.

Q: 3. Find the equation of the tangent line to the graph of y at the point (1,0) given 2r² where r> 0.…

A: Given that: xy+1x2=2x2+y

Q: Find an equation of the tangent line to the graph of f (z) = -2² + 3z – 2 at the point (2, 0)

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Q: Find the equation of the tangent line to the graph of the function f (x) = v 4,4 + 12 at the point…

A: Consider the equation

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: 1. For the function f(x) = 2x2 +7x-3, %3D (a). Find the slope of the tangent line at c = 4. (b).…

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Q: Find the equation of the tangent line to the function f(x)=2x^2−9 at the point where x=−6. Give your…

A: Calculate the derivative of the function at given point than write the equation of tangent line.

Q: Find an equation of the line tangent to the graph of the function: f(x) = V2x² – 1 at point P(-1;1).

A: Given:- f(x) = (2x2-1)(1/3)  To find:- Equation of tangent line at point p(-1, 1) on given curve

Q: Find f (3) and f' (3), assuming that the tangent line to y = f (x) at a = 3 has equation y = 5x + 2.

A: Tangent to a function at a point is a line which just touches the graph of the function at that…

Q: Find the equation of the line that is tangent to the graph of the functio f(x) = x+1 at the point T…

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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 an equation of the tangent line to the graph of y=e^-x^2 at the point (2,1/e^4)

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Q: Find h'(-1) if h = fog, f(x) 3x2 8 and the equation of the tangent line of g at --1 is y = -2x +7.

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Q: If f(x) = 2x2 – 2x + 4, find f'(– 4). 2x + 4 at the point (– 4, 44). Use this to find the equation…

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Q: Find an equation of the tangent line to the graph of y = e−x2 at the point 4, 1/e^16

A: Given curve

Q: Find the equation of the tangent line to the graph of the function f(x) = (22 +6) (z – 3) at the…

A: Fund the equation of the tangent line.

Q: Find an equation of the tangent line to the graph of f(x) = e×/2 In(x) at its inflection point.…

A: The point of inflection is the point where the second order derivative of the function becomes zero.…

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: 4. Given the function f(r) = Vr – 2, (a) What can we say about f'(2)? f'(0)? ƒ'(4)? (b) Why are we…

A: keeping a note ?as per our company guidelines we are supposed to answer ?️only first 3 sub-parts.…

Q: 3. Find the equation of the tangent to y = 1-x² 3x+7 at the point where x = 1.

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Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = V3x – 5

A: since you have posted multiple question in this question which are not interlinked so i have solved…

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: Find the equation of the tangent line to the function f(x)=−2x3−4x2−3x+2 at the point where x=−1.…

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Q: Find h'(-2) if h= fog. f(z) = 372 + 8 and the equation of the tangent line of g at-2 is y= 4x 6.

A: Here we have to find h'(-2) if h=f∘g , g(x) =3x2+8 and the equation of the tangent line of g at -2…

Q: 1. For the function f(x) = 3x² + 8x – 7, (a) Find the slope of f(x) at x = 3 (b) Find equation of…

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Q: 12) Find the equation of the line tangent to g(x) = (3x + 11)ex-4 at x = 4.

A: ddxuv=vddxu-uddxvv2

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: Find the equation of the tangent line to the graph of the function f(x)=x+1x−6 at the point (0,−16).

A: Equation of tangent is y-y1=m(x-x1) where m is the slope.

Q: Find the equation of the tangent line to the function f(x)=−4x2−3x+2 at the point where x=−1. Give…

A: we have to find tangent line to f(x) at x=-1given

Q: The equation of the tangent line to the graph of the function y = 7* – 4e² at a - O is

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Q: For what value or values of the constant k will the curve y = x3 + kx2 + 3x - 4 have exactly one…

A: Given curve is y=x3+kx2+3x-4. A curve have exactly one horizontal tangent  at x=a if f'a=0.…

Q: Find the equation of a line tangent to the given functions at the given points of tangency. 1) f(x)…

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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) = (2x +…

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Q: Find an equation of the tangent line to the graph of f(x) = 2 + e1−x at the point (1, 3).

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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: 1. For the function f(x) = 4x? + 6x – 6, (a) Find the slope of f(x) at x = 4 (b) Find equation of…

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

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Q: Find an equation of the tangent line to the graph of the function h(x) = −xe2−x, at the given point…

A: Slope of the tangent line is the derivative of the given curve at the given point. So…

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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