Find the equations of the two tangent lines to the graph of f that pass through the indicated point. f(x) = 4x – x² 5 (2, 5) y 3 line with positive slope, y = line with negative slope, y =

Q: Find the equation of the tangent line to the curve at a given point  y=x3-3x+1 (3, 19)

A: Given,

Q: Find the derivative using the following information.

A: Equation of tangent to curve g(x) at x=2 is y=-3x+2. Its slope is m=-3. Since slope of tangent to…

Q: 3. Determine the value of b if the slope of the tangent to f(x) = (3x² + 1)(2x² + b) at x =– 1 is –…

A: given,       fx=y=3x2+12x2+b    slope of the tangent, at x=-1      dydx=-16

Q: 4) Find the equation, in slope-intercept form, of the tangent line to the graph of : y = Vx2 + 11 at…

A: Dear,as per company guidelines we can answer only one question at a time, kindly post other question…

Q: Find the equations of the tangent lines to the graph of the equation below that are parallel to the…

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Q: Find an equation of the tangent line at x = a. y = x2 - 4; a = -3

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Q: an equation of the line tangent to the function of x2 + (y – x)2 = 9 at x = 1.

A: At given value of x find y Differentiate at given value Use equation of tangent line

Q: Find an equation of the tangent line to the graph of the equation at the given point : y = 16 – x² ;…

A: The given equation of the graph is y=16-x2 and the point is (3, 7) . We have to find the tangent…

Q: Write an equation of the tangent line to the graph of y = f(x) at the point on the graph where x has…

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Q: Find the equations of the two tangent lines to the graph of f that pass through the indicated point.…

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Q: Find the slope-intercept equation of the tangent line to the graph of f(x)=√xat (4, 2).

A: fx=x    at 4,2 slope intercept equation:y=mx+cNow we find slope…

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: If  f(x) = 7x2 − x3,  find f '(1) and use it to find an equation of the tangent line to the curve…

A: Given curve , y=fx=7x2-x3∴ Derivative of fx is                        f'x=ddx7x2-x3…

Q: C. Find the slope and the equation of the tangent line to the 21 21 = 3x al 28. y=x²-3x+3 at (3, 3)…

A:

Q: Find an equation of the tangent line to the graph of the equation at the given point. y = 9-x2; P…

A: Solve for the equation of the tangent line

Q: If f(x) = 7x2 − x3, find f '(1) and use it to find an equation of the tangent line to the curve y…

A:

Q: A) Find an equation of the line tangent to the function of x2 + (y – x)² = 9 at x = 1.

A: Here we find equation of tangent on given curve.

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

A: The given function is fx=27x2+9.

Q: By definition find the equation of the tangent line to the graph of y = (0, -2) at the point X-6

A: in this question, first we will find the slope of the line at given point and then find the equation…

Q: Find h'(-2) if h =fog, f(x) = 6x² - 1 and the equation of the tangent line of g at -2 is y = -2x +…

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Q: This is the equation of the line tangent to the graph of * y = x2 + 3 at x = –1

A:

Q: Find an equation of the tangent line to the graph of y = x³ – 3x – 1 at the point (2, 1). 09x - 2y -…

A: 1.y=x3-3x-1 at the point (2,1)2.y=logx2e

Q: Find the equation of the tangent line to the graph of the function f(x) = 4x - at x = -2. Give your…

A: Use formula of equation of tangent line.

Q: For x/y + 5x - 7 = (-3/4)y, (1,2), find the equation of the tangent line to the graph of the given…

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Q: Find the slope and the equation of the tangent line to the graph of the given function at the given…

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Q: 3. Find the equation of the curve at every point of which the tangent line has a slope of 4.x. (a) y…

A: Topic = Differential equation Correct option = d

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Function f(x) = −1/4 x2                      Line       x + y = 0 Equation of the line that is…

Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

A: we have to find the slope m and also the equation of the tangent

Q: find the equation of the line tangent to the graph of f at the indicated value of x. f(x)=5e^x, x=0

A:

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: Find the standard (slope-intercept form) equation of the tangent line to the following functions at…

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Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

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Q: Find the equation of a tangent line to the graph of the function g(x)=2x−x2g(x)=2x−x2 that is…

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Q: Find an equation of the tangent line to the graph of f(x)=ex​, where x=3.4.   The equation of the…

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Q: Find an expression for the slope of the tangent line to the graph of the given Function. 1. y= 2+ x³…

A: Our Aim is to find an expression for the slope of the tangent line to the graph of the given…

Q: Find the standard (slope-intercept form) equation of the tangent line to the following functions at…

A:

Q: Find the equations of the two tangent lines to the graph of f that pass through the indicated point.…

A: Given that f(x)=8x-x2 find the equation of two tangent lines

Q: 1. Find the equation of the tangent line to the graph f(x) = 2x² + 5 at P(-1,7) 2. Find the equation…

A: The solution to given questions is explained below.

Q: Find the equation of the tangent line to the graph of the given equation at the specified point. y =…

A: We can find the equation of tangent line as below.

Q: Find an equation of the tangent line to the curve at the given point. y = x3 – 2x + 1, (4, 57)

A:

Q: Find the equation of the tangent line to f(x)=4x+x^−1/2+1 at the point (4,35/2)

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Q: Find an equation of the tangent line to the curve at the given point. y = x3 - 2x + 1, (3,22)

A:

Q: Find the equations of the two tangent lines to the graph of f that pass through the indicated point.…

A: f(x)  =  6x - x2                        f'(x)  =  6 - 2x slope of the lines…

Q: Find an equation of the tangent line to the graph at the given point. x²y? - 9x? - 4y² = 0, (-4,…

A:

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

A: Given function is  fx=32x+1

Q: find (a) the slope of the curve at the given point P, and (b) an equation of the tangent line at P.…

A: To find: The slope of the curve and equation of tangent line at point P of the below curves. Given,

Q: 3. Determine the value of b if the slope of the tangent to f (x) = (3x² + 1)(2x² + b) at x = – 1 is…

A: The formula to find the slope of the tangent to the function f(x) is f'(x).

Q: Find an equation of the tangent line to the graph of y = x³ 3x - 1 at the point (2, 1). - 09x+y+17 =…

A: We can solve this as follows:

Q: Find the slope and equation of the tangent line 1. f(x)= -3+2x+x2                    (3,12)

A: f(x)=-3+2x+x2,(3,12)

Q: find an equation for the line tangent to given curve at the given value of x. y=x-x2 ;x=-2

A: