Q2: At what points do the graphs of the functions below have horizontal tangents? 1.f(x) = x² + 4x -1 2.g(x) =x - 3x

Q: Find the point on the graph of f (x) = (9x + 8)/æ + 5x (x > 0) at which the tangent line is…

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Q: Q5: Does any tangent to the curve y vx cross the x-axis at x--1 If so, find an equation for the line…

A: It is required to find if any tangent to the curve y=x cross the x-axis at x=-1. First find the…

Q: x2 - Write the equation of the tangent line to the graph of y = - 16x at x = 4. Check the…

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Q: Find the point on the graph of f (x) = (3x + 9)/x + 9x (x > 0) at which the tangent line is…

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Q: (3) Find the equation of the line tangent to f(x) = 2x³ - 2x2 +1 at x = 1. [Hint: f'(a) is the slope…

A: We find the slope of f(x) at x=1 by finding f'(1)

Q: Find an equation of the tangent line to the graph of the function at the given point. y = (e4x −…

A: We first have to find y'We apply exponent rule and chain rule.y'= 8(e^(4x))*(e^(4x)) -4)

Q: 5. Find the slope of the tangent to the function b hor-0-s1= -S= xb 6 Ⓒ-(²-x) at x=1 Yo For-V xb

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Q: h (x) = [ƒ (x)P + g (x), what is the equation of the line tangent to the graph of h at x=-1?

A: Given,           hx=fx2+gx

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 an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -6 and g'(2) = 4.…

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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: Find an equation of the tangent line to the graph of y = g(x) at x= 2 if g(2) = -4 and g'(2) == 5.…

A: Known fact: The equation of line with slope m and passing through x1, y1 is given by y-y1=mx-x1.

Q: The slope of the tangent to the graph of f(x)=-Vx² - 1 at the point (-1, 0) is 1. a) man =0 b) man =…

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Q: Find an equation of the tangent line to the graph of f(x) =2- 5x at (2, – 18). The equation of the…

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: (A) Find the equation of tangent and normal to the curve x? + 2y = 9 at (-1, –2). (B) Use the first…

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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 point on the graph of f (x) = (3x + 9)/x + 2# (x > 0) at which the tangent line is…

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Q: Find an equation of the tangent line to the graph of  y = g(x) at x = 6 if g(6) = −2 and g'(6) = 5.…

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -3 and g'(4) = 5.…

A: y=g(x) and g(4)=-3 , g'(4)=5 we have to find the tangent line of the given function y=f(x)

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: Q1) A) Find the tangent equation for the function f(x) = Vx² + 5 at =2 ?

A: To find  The tangent equation for the given function

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: Find an equation for the tangent line to the graph of the function F(x) = V3x2 + 9 at the point (3,…

A: To find the equation of tangent of given equation.

Q: 2x+1 Aliza says that there is no tangent line with a negative slope for the f(x)% = Stella disagre…

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Q: Find h'(-3) if h = f o g, f(x) = -8x? + 6 and the equation of the tangent line of g at -3 is y = 7x…

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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) = -4 and g'(2) = 5.…

A: Given function is                                              y=g(x), at x=2g(2)=-4 and g'(2)=5 we…

Q: Q6. Find the equation of the tangent line to the graph f(x)=2xsinx at x=7

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Q: What is the slope of the tangent line that touches the graph of In y + e2a-1 = 3y – 4x at the point…

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

A: Find the derivative for f (x). Find f’(x) at x = 2.

Q: Q2: At what points do the graphs of the functions below have horizontal tangents? 1.f(x) = x² + 4x -…

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Q: Q4\ Find the slope of the function F(x) = √√x+1 at the point (8,3) And find the equation of the…

A: To find the slope of the function at the given point and also the equation of the tangent line at…

Q: 2 For the graph of f(x) = ax + bx +4, the slope of the tangent at the point (3, 1) is 5. Determine…

A: Given that        f(x) = ax2+bx+4

Q: Find the equation of the tangent line to the graph of the function f (2) = (22 +7) (x– 2) at the…

A: Given curve f(x)=(x2+7)(x-2) ⇒f(x)=x3-2x2+7x-14

Q: Q 8/ Find all points on the graph of f(x)= (x-3)(x-2) at which the -1 tangent line is horizontal.…

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Q1) A) Find the tangent equation for the function: f(x) = Vx +5 at x-2? %3!

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Q: Q5: Does any tangent to the curve y = vx cross the x-axis at x=-1 If so, find an equation for the…

A: To find: The equation of tangent to the curve y=x if possible. Given: The equation of the curve y=x.…

Q: Q1) A) Find the tangent equation for the function: f(x) = Vx2 +5 at =2?

A: The given function is; f(x) = √(x2+5)

Q: Given that f(-8) = 2 and f '(-8)  = 3, find an equation for the tangent line to the graph of y =…

A: Given that f-8=2

Q: Use the equation below to find the tangent line to the graph of the function f(x) = 6 − 2x^2 at the…

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Q: 2x+5 2. What is the equation of the tangent line to the graph of f(x) = in x = 5? x-3

A: fx=2x+5x-3f'x=2x-3-12x+5x-32f'x=2x-6-2x-5x-32f'x=-11x-32

Q: For what value(s) of x does the graph of 1 f(x) = – x² +3 have a .2 - horizontal tangent?

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Q: Q1) A) Find the tangent equation for the function: f(x) = vx2 + 5 at =2 ?

A: The equation of the tangent using the slope intercept is y=mx+b Where 'm' is the slope of line and…

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

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

Q: Q3 Find the equation of the tangent line to the function f(r) =x+7 at r 1. Show your work.

A: f(x) =x3 +7 Let y = f(x) = x3 +7, we have to find the tangent at x=1 , so value of y at x=1 is  f(1)…

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: At which point(s) does the graph of  y= e((x3-2x2+3x)/(x)) have a horizontal tangent line?

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Q: Q2/ Find the slope of the tangent to the curve at x = 8 4 + पड़े + y = 3x5 + 2³√x+2+√5 X-Y 3x²

A: We know that slope (m) of the tangent to the curve y=f(x) is :  m=dydx We have y=3x5+2x3+13x2+5

Q: Q5: Find an equation of the tangent line to the graph of f at (1, 32): y = x (x + 1)5

A: The slope of tangent at any point on the curve is given by the value of derivative of that function…

Q: (a). For the function in this problem, find the slope of the tangent line at the given value.…

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

Q: please help

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