Find an equation of the tangent line to the graph of f at the given point. f(s) = (s – 3)(s² – 4), at (-2, 0) A y = 40s + 20 B y = 20s+ 40

Q: Q1: Find an equation for the tangent to the curve at the given point. 1.y=2Vx (1,2) 2.y = (x – 1)2 +…

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Q: ii. find the equation of the tangent line to f at x = a. (a) f(x)=3-4x, a=2. (b) ƒ(x)=x² +x, a = 2.

A: We have to determine the equation of tangent line

Q: Find an equation for the tangent to the curve at the given point. f(x) = 4x -x+5, (16,5) OA. y= O A.…

A: Slope-intercept form is= y-y1=m(x-x1)

Q: Let f(x) = 14x + 11 – 3e. Then the equation of the tangent line to the graph of f() at the point (0,…

A: Given: f(x)=14x+11−3ex The equation of the tangent to the graph f(x) at the point (0,8), is given…

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: 2. Let f(æ) = 2e* – 3x² /a, whose graph is given to the right. Sketch in the tangent lines to f(x)…

A: Graphed the tangents using a graphing calculator.

Q: Let f(x) = 12x + 11 – 15e*. Then the equation of the tangent line to the graph of f(x) at the point…

A: Solving by equation of tangent we have

Q: the line 3x+ y=l is the tangent line for the graph of y= f(x) at x=1, then f'(1)= 1 (C) 1 (D) 3 A) 3…

A: The slope of the line y=mx+c is m. The slope is equal to the derivative of y i.e., f'y=m

Q: -2x²+2x+1 Find the equation of the tangent line to the graph of F(x) ev dy at x = 0. sech z

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Q: 32. Find an equation of the tangent line to the graph ofy= /(r)at z = -3if S(-3).32 and f'(-3) 5

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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: The equation of the tangent line for the function f( O y = -7 O y = -7(x – 4)+35 %3D O y = -7(x+ 4)…

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Q: Find an equation of the tangent plane at the given point: F(r,s)= 2r3(1/s0.5) - 2(1/s4), (2,1)

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Q: The graph of 3 (x+y) = 25 (x -y²), shown in the figure, is a lemniscate of Bernoulli. Find the…

A: Given query is to find equation ifbthe tangent at given point.

Q: 19. Find the equation for the line tangent to the given curve y f(x) at the point P. (a) f(x) =…

A: Given, f(x)= 2x²+5x-10 P=(x,y)=(1,-3)

Q: C. 1. If f(x) = V find, f '(4) and f "(4) 2. Find the slope of the tangent line to the curve 2x + 2y…

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Q: 3x The equation of the line tangent to f(x) 1 at x = – 2 is x + 3 y = 10x +

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Q: Let f(x) = 14x + 6 - 17e. Then the equation of the tangent line to the graph of f(x) at the point…

A: The given function is fx=14x+6-17ex we have to find the equation of the tangent line at the point…

Q: Q1:Find an equation for the tangent to the curve at the given point. 1.y=2v (1,2) 2.y = (x– 1)2 + 1…

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Q: The graph of ax + b f(x) = (x+ 1)² has a horizontal tangent line at (-2, –1). Find a and b.

A: Given,           The graph of fx=ax+bx+12 has a horizontal tangent line at -2,-1.

Q: b) Find f(1) and find the equation of the tangent line at the point (1, f(1). c) Graph y = f(x) and…

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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 of the function given below at the given point.…

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Q: Given that f(t)= 8(t - 6)-(1/2)    Can you help me find the equation for the tangent line of the…

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Q: Find an equation of the tangent line to the graph of f (t) = (t – 5) (t² – 3) at the given point (2,…

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Q: If g(x) =x4-2 find g'(1) and use it to find an equation of the tangent line to the curve y= x4-2  at…

A: Derivative: g(x)=x4-2 The eq of the tangent at (x1,y1) is y-y1=dgdx(x1,y1)(x-x1)

Q: Let f(6) = -3 and f'(6) = 8. Then the equation of the tangent line to the graph of y = f(1) at z = 6…

A: The standard equation of the slope-intercept form helps to find the required equation of tangent.…

Q: Let f(x) = 10x + 12 - 9e. Then the equation of the tangent line to the graph of f(x) at the point…

A: given f(x)=10x+12-9ex

Q: f(x)=5x^3/(1−4x) ^4 find an equation of a line tangent to f at x=1

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Q: (a) If G(x) = x2 - 5x + 5, find G'(a) and use it to find equations of the tangent lines to the curve…

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Q: бх — 1 Let f (x) = 9х + 6 Then 45 f'(x) = 9х + 6 Find an equation for the tangent line to the graph…

A: Given,           fx=6x-19x+6

Q: 23: The equation of the tangent line to the graph of y = f(x) at x=-3, f(-3)=2 & f'(-3)=5 is a)…

A: We have to solve given problems:

Q: Find an equation of the tangent line to the graph of f at the given point. f(t)= (t -…

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Q: Find the equation of the line tangent to fƒ(æ) = e² (x² + 3x) at the point (–2, –2e¯²). O y = -3e-2…

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Q: Let f(x) = 4x + 5 – 19e“. Then the equation of the tangent line to the graph of f(x) at the point…

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Q: Let f(x) = 6x + 2 – 7e*. Then the equation of the tangent line to the graph of f(x) at the point (0,…

A: Here we find the tangent equation then we find the value of m and b.

Q: |The graph of ах + b f(x) = (т — 1)(» — 4) has a horizontal tangent line at (2, –1). Find a and b.

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Q: 3. Find the equation of the tangent line to the graph of the function at the given point. (a) #61. y…

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Q: f(x)=-3x^4+11x^2 What is the equation of the tangent line at x=-1?

A: Obtain the value of y as follows.

Q: a. Compute the derivatives of the following function: sec(xy) = 4x(3x+ 5)5 b. Find an equation for…

A: Product Rule of differentiation : d(u.v)dx=u.dvdx +dudx.v dxndx = nxn-1 Equation of line passing…

Q: Let f(x) = 8x + 10 – 3e². Then the equation of the tangent line to the graph of f(x) at the point…

A: The given function is: f(x)=8x+10-3ex

Q: 2x +1 Determine the equation of the line tangent to the graph of at the point (1, 1). x + 2

A: To find the equation of the tangent line to the graph y=2x+1x+2 at 1,1

Q: An equation of the line tangent to the graph,of f (x) = x(1– 2.x)' at the point (1,–1) is D y = 7x…

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Q: Find an equation of a line tangent to the graph of h(x) =s at x-2 y=6x+13 O у-бx+13 y=6x+12 O…

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Q: Q5. Find the slope of the tangent to the curve Xy+x-y37+x at the point (1, 2).

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Q: Find the equation of the tangent line.

A: We have to find the slope at (0,2)For that we need g'(0)

Q: 13x Ca) If F(x) = find F'(3) and use it to find an equation of the tangent line to the curve y = 13x…

A: Given function is : Fx=13x4+x2 To find the value of F'3 and to find the equation of tangent to the…

Q: h(x) * |4x + 1 %3D a) Find the equation of the line tangent to the graph of fx) at x = 2.

A: 8). Given function is hx=4x+1. To find: (a). The equation of the line tangent to the graph of fx at…

Q: 9. Find the equation for the tangent line to f(x) = at *=-1 A)9x+25 y =-34 B)9x+25 y=-24 C)-9x+25y…

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