For the function f(x) = 4x² + 2, the slope of the tangent line at x = 3 is a m = 32 b m = 4 m = 8 d m = 24

Q: Find an equation of the line L tangent to the graph of f(x) = 8x +1 at x = 1/2.

A: Calculate the y-coordinate of the point where the tangent has to be drawn. Substitute 12 for x in…

Q: Given f(x) (x – 4)(-5x – 3), find the (x, y)-coordinate on the graph where the tangent line is…

A: For coordinate of horizontal tangent line  Differentiation of given function Finding critical point…

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: y = −2x4 + 4ax³ - 5x² - 8x + 1

A: Solution:-

Q: If the slope of the tangent line to the graph of y=f(x) at x=a is m(a)=2a+1, and fl-1)=2, then what…

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Q: Find f(4) and f'(4), assuming that the tangent line to y = f(x) at a = 4 is y = -7x +2.

A: The derivative of a function at a point represents the slopeof tangent at that point .

Q: Find the equation of the line tangent to the curve f(x) = 2/(x+2) at x=0

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Q: The equation of the tangent line to f(x) = 5x2 + 7 at x = 0 is a y = 5x + 7 b y = 7 y = 2x + 14 O d…

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Q: Find the equation of the tangent line to the curve when x has the given value. f(x) = x – x; x = 4 O…

A: Given curve is Differentiating with respect to x , we get Now, we will find f(4) and f'(4)

Q: If f(x) = 3x 2 − 5x, find f' (2) and use it to find an equation of the tangent line to the curve y =…

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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: 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: 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: 3. Find the equation of the line tangent to the curve f(x) = 3r²+4r+1 at the point (1,8).

A: To find the equation of the tangent line to the curve f(x).

Q: For f(t) = (2x − 3)3, find the equation of the tangent line at (a)  x = 0 (b)  x = 2

A: We have to find tangent line to f(x) at two different points, f(x) is given .at x=2 y=1at x=0 y=-27

Q: The equation of the line tangent to f(x) = (x² – 9) (2x – 1) at æ = 2 is y = 2x –*

A: Given that: f(x)=(x2-9)(2x-1)

Q: Find the equation of the tangent line at x = 2 for f(x) = 4+x-2x²-3x³. Write the answer in the form…

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Q: For what values of x is the tangent line of the graph of f(x)=2x^3+9x^2+14x−12 parallel to the line…

A: Remarks; slope of two parallel line are same

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: For the function f(x) = 2x^2 +7x-6 Find equation of the tangent line to f(x) at x = 6.

A: Given: fx=2x2+7x-6

Q: 2. Given the function, find the slope of the line tangent to the curve: f(x) = v5x + 2 at the point…

A: We have to find the slope of the line tangent to the curve: f(x)=5x+2 at the point P(1,2) for the…

Q: Find the slope of the line tangent to the given curve at the indicated point. a. f (x) = 3x + 10 at…

A: Given function,f(x)=3x+10,Aim:- To find the slope of the tangent of the curve f(x) at (-3,1)Let…

Q: Find an equation of the line tangent to the following curve at the point (a,f(a)). f(x) = 8 ex + 5x;…

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Q: Find an equation for the line tangent to the graph of…

A: Given function is fx=-2xex To find: Th equation of tangent line at point a,fa for a=2 Solution:…

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: For f(x)=1/4+x2​, the slope of the graph of y=f(x) is known to be − 2/25 at the point with​…

A: The function is f(x)=14+x2Slope is -225x-coordinate is 1

Q: the line tangent to f(x)=x' 3.

A: we have to find the equation of line tangent to  f(x)=x3-x2-5      , at the point (2,-1)

Q: 1. For the function f(x) = 2x? + 7x – 3, - (a). Find the slope of the tangent line at x = 2. [1Mark]…

A: The answers are : (a)  15  (b) y = 15x - 11   The detailed solution is as follows below:

Q: Estimate the slope of the tangent line at the point t = -7, for f(t) = 11t-3.

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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: For the function f(x) = 10x² + 10x – 1, find the equation of the tangent line at x = 2.

A: Given function     f(x) = 10x2 + 10x - 1 at x = 2,     f(2) = 10(2)2 + 10(2)  - 1 = 59

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = 11 e*+…

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Q: Find an equation for the line tangent to the graph of f(x) = 2xe %3D at the point (a, f(a)) for a =…

A: f(x) = 2xexslope of tangent will be calculated by differentiation function f(x) at given point.f(x)…

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

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Q: If f(x) = 5x2 − x3,find f ' (1) and use it to find an equation of the tangent line to the curve y =…

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Q: b) Determine the equation of the tangent line to the grap f(x) = 2x² – x + 5 at the point where x =…

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Q: The value of b makes the liney = 2x + b be tangent to the function f (x) = x² is

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Q: Given f(x)=(x+1)ex find the equation of the line tangent at x=0 .  Where does the tangent line…

A: Given: f(x)=(x+1)ex To determine: The equation of the line tangent at x=0. The point at which the…

Q: Find an equation of the line tangent to the following curve at the point (a,f(a)). f(x) = 11 ex +…

A: Given, The equation of the curve fx = 11ex+5x We have to find the equation of the line tangent to…

Q: 1. For the function f(x) = 3x² + 8x – 7, (a). Find the slope of the tangent line at x = 2. . (b).…

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Q: For the function f(x) = x² + 7, find the equation of the tangent line at x = -1. Answer: Submit…

A: Let's find.

Q: For  f(x)=(2x−3)3, find the equation of the tangent line at x=0 and x=2.

A: Given the equation of the curve, f(x)= (2x-3)3 To find the equation of the tangent line at x=0 and…

Q: For what values of x is the tangent line of the graph of f(x)= 2x3-12x2+2x+18 parallel to the line…

A: The tangent line of the graph of f(x)= 2x3-12x2+2x+18 is parallel to the line y=2x+.4 So, slope of…

Q: For f (x) = x 3, show that the slope of the secant line over [ -3, x] is x 2 - 3x + 9, and use this…

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Q: For the function f(x) = 10x² – 3x + 5, find the equation of the tangent line at x = 8.

A: We have to find the equation of the tangent line of  f(x)=10x2-3x+5 at x=8.

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

A: Answer is- Option 3 is correct Explanation is given below...

Q: Find an equation for the line tangent to the graph of: f(x)= 2xex at the point (a,f(a)) for a=2.

A: Given curve Now, we find f'(x) We know that slope of tangent line to the curve y=f(x) at point x=a…

Q: 2. Given f (x) = x² – 2x + 5, find the tangent line at x = 7

A: As per Bartley guidelines we are supposed to answer only one question per post.  This post contains…

Q: For the function y= In(x² – 2) , the slope of the tangent at x = 2 is

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