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 the equation at the given point : g(x) = x³ +…

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Q: Find the equation of the tangent line to the curve y=2tan(x) at the point (π/4,2). The equation of…

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Q: Q3: Find an equation for the tangent line to the curve y = etan x at the point where x = 0

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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: (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: ()- 3 The slope of the tangent line to the curve y at the point (7, is: Preview Enter a mathematical…

A: If a tangent is drawn to the curve y=fx at a point Px1, y1, then the slope of tangent is equal to…

Q: Find an equation of the tangent line to the given curve at the specified point. x² – 1 y = x² + x +…

A: We are going to find the tangent line equation to the given curve at the point (1,0) using an…

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: 3 Find the equation of the tangent line to the graph of y(x) = 4(x – 1)° at x = 2. Equation of the…

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Q: Find an equation of the tangent line to the curve at a given point . y = x^4+ 5x^2 -x , (1, 7)

A: We have given a curve y.  We have to find the equation of the tangent line to the curve at point (1,…

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: 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: The equation of a curve is given by f(x) = √2x-1. a) Use the definition of derivative to find f'(x).…

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Q: Find the slope of the tangent line to the given curve at the given value of x. Find the equation of…

A: Given curve is y=x2-6x. To find the slope and equation of the tangent line to the given curve at…

Q: 1. Find the equation of the tangent line at the given point. f (x) = e3x-x², (3,1)

A: We have to find

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: 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: Question 8 Find an equation of the tangent line to the graph of f(x) 1 at the point (2.-). - -- (A 1…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 6x…

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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: 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 an equation of the tangent line to the curve y =√x  at the given point (4,2) Use the…

A: The expression for the equation of the tangent line is: y-y1=mx-x1 Where, 'm' is the slope of the…

Q: Find an equation of the tangent line to the curve at the given point. y = x + (5, 6) y =

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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: Find the equation of the tangent line to the curvef (x) = x- + 2x at x = 1. Enter the answer in the…

A: Given: f(x)=x2+2x     at   x=1 To find the equation of the tangent line.

Q: Find an equation of the tangent line to the curve at the given point. X + 1 y = (5, –6) X - 6 y =

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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: 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: 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: 1. Find the equation of the tangent line at the given point. f(x) = e3x-x², (3,1)

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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 the function at the given point. y = 4 − x2 −…

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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 an equation of the tangent line to the graph of y=e^-8x at the point (5,e^-40)

A: To find an equation of the tangent line to the graph of y=e-8x at the point (5,e-40).

Q: an equation of the tangent line to the curve at the point (2,

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Q: Find an equation of the tangent line to the graph of the function at the given point. You must write…

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Q: Find the slope of the tangent line to the graph of the function at the given point. 11 f(x) at(1, )…

A: given fx=118x

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 an equation of the tangent line to the given curve at the specified point: (4) 2 y = x + 1 ' 5

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

A: y = x3 - 2x + 1 ( x1 , y1 ) = ( 3, 22 )

Q: 5. Find the equation of the tangent line (slope-intercept form) to the 5 at the point (6,1). x-1…

A: To determine the equation of the tangent line.

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

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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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Q: 3) a. Use implicit differentiation to find the slope of the tangent line to the curve defined by y²…

A: (3) Consider y2=x3+3x2. Differentiating both sides of the equation results,…