Part A: If an equation of the tangent line to the curve y=f(x) at the point where x= 2 is y 4x-5, find f(2) and f'(2)

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -5 and g'(3) = 2.…

A: Here, y = g(x)  and g(3) = -5 i.e. when x1 = 3, then  y1 = -5 and g(3)=2 i.e. At x =3, the slope, m…

Q: Find an equation of the tangent line to the graph of y = 6x at the origin and at the point (- 1, -…

A: To find the tangent line to the curve y=6xx2+1 at origin and at (-1,-3).

Q: Find an equation of the tangent line to the curve at the given point. y = x* + 9x? - x, (1, 9) %3=

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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: Find an equation of the tangent line to the graph of y =- 2x at the origin and at the point (1,1). x…

A: Given :                      f(x) = 2xx2 +1Differentiate using quotient rule :…

Q: (b) Find the equation of the tangent line to the graph of the equation sin-"(x + y) = ;r² 2 at the…

A: Topic = Derivative

Q: Find the equation of the tangent line to the graph of ​f(x)=3/x at (9,1/3). The equation of the…

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Q: (a) Find an equation of the tangent line to the curve y = 16x sin(x) at the point (7/2, 87).

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Q: (a) Find an equation of the tangent line to the curve y = (1+x²/3}3/2 at x = -1.

A: Given: y=1+x2332 for finding equation of tangent at given pointx=-1, first we need to find slope of…

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: 3x+ Find an equation of tangent line to the curve: f(x) = EGL

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

Q: Find equations of the tangent lines to the curve y= (ln x) /x at the points (1, )d and (e, 1/e).…

A: y=In xx,  (1,0),(e,1/e) Find y'              quotient rule :fg'=f'g-fg'22…

Q: (A) Find the equation of tangent and normal to the curve 2a?-y =7 at (-2,-1). (B) Use the first…

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Q: 38. Find an equation of the tangent line to the curve at the given point. y = xe-x?. (0,0)

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Q: Find the equation of the tangent line to the curve y = 2x cos x at the point (₂ The equation of this…

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Q: Find an equation of the tangent line to the function y 5x at the point P(1, 5). Solution

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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: Vx-1 Find the slope-intercept equation of the tangent line to the graph of at the point x2+1…

A: This question is based on knowing how to calculate slope from a given function at a point.

Q: Find an equation of the tangent line to the curve at the given point. 2х + 1 8. у — (1, 1) x + 2

A: We know that equation of tangent line is given as - ( y - y1 ) = m ( x - x1 ) . Here 'm' is slope of…

Q: An equation of the tangent line to the curve C at the point (1, 2) is y-2=-(-1) A у — 2%3 y-2=2(x-1)…

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Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = -4x + 1…

A: We need to find the slope of the tangent line to the function f(x)=-4x+1 at (-1, 5). By using slope…

Q: 1. Find the standard (slope-intercept form) equation of the tangent line to the following functions…

A: Given: fx=3x2-12x+1 at point 0,1

Q: II. Find an equation of the tangent line to the curve of f(x) =-2x' +6x+1 when x 23

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Q: Find an equation of the tangent line to the graph of h(x)= 2x-x'at the point (-2, 4). Write the…

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Q: Find an equation of the tangent line to the curve at the point (2, 0). y = ln(x2 − 3)

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Q: 6x Find an equation of the tangent line to the graph of y = 2 X +1 at the origin and at the point…

A: Given,          The line is y=6xx2+1 at the origin and at the point -1,-3.To find : Find an equation…

Q: Using first principles, determine the equation of the tangent line at point (2,2) on the curve f ( x…

A: Using first principles, determine the equation of the tangent line at point (2,2)on the curve f ( x…

Q: Find the equation of the tangent line to the curve at the given point. y = 4x^2-x^3, (1,3)

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Q: 1-x The equation of the tangent line for y = at (- 2, – 3) is 1+X

A: AS PER GUIDELINES I CAN ATTEMPT ONLY FIRST QUESTION

Q: (15) Find an equation of the tangent line to the curve, xy3 − y = x2 + 5, at the point (1,2).

A: Find the slope

Q: 5x What is the slope of the tangent line to the curve y = at the point (2,2)? x2+1

A: Find the slope of the tangent line.

Q: c) Find the equation of the tangent line to the function y = sec²x at the point (2:2).

A: Given function as y=sec2x

Q: (:) 1 Find the equation of the tangent line to the curve f(x) : at the point x+1 Write equation in…

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Q: etermine the equation of the tangent line to the graph of f(x) = O y = 6 + 6x y=-6x - 6 Oy=6-6x x

A: Topic:- application of derivatives and integration

Q: 2 at the point P(-1,1) 1-x Find the slope of the tangent to y= Answer:

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Q: an equation of the tangent line to the graph of "f" at the given point: y=x3-3x+1, (2,3)

A: Given query is to find the equation of the tangent line.

Q: Find the equation of the tangent line to the curve y = -2 + 3x – x² at x = 1. Graph the curve and…

A: Given function is, y=-2+3x-x2 At x=1.

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: 3. A function is defined by the equation y = V3x + 4, where does the slope of the tangent line equal…

A: Given,           A function is defined by the equation y=3x+4 and the slope of the tangent line…

Q: Find the equation of the tangent line to the graph of the function f (x) = a+3 at the point (0,-).…

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Q: Find an equation of the tangent line to the graph of ​f(x)=ex​, where x=−0.3.   The equation of the…

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Q: Write an equation of the tangent line to the curve f(x) = 3x/√x-4 at the point (5,15). Express the…

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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 for the tangent line to the curve at a given point g(x)= 4 divided x+3 ; P(-5,10)

A: gx=4x+3P-5,10

Q: An equation of the tangent line to the curve y=(x^2 +1)^3 at the point (1, 8)

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Q: Find the equation of the tangent to the curve y=2(e^x) at the point (0,2).

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Q: 2. Find the equation of the tangent line to the curve f (x) at the x+1 point (2,5). Write equation…

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Q: The equation of the tangent to the curve x2 = 4y at the point on the curve where x = −2

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Q: The equation of the tangent line to the curve y=x² +1 at x = -4

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Q: Find an equation of the tangent line to the graph of the equation x + y - e* - Y = 9 at the point…

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