Find the slope-intercept equation of the line tangent to the graph of y = e when x = In 3. O y = 3x + 3 (1 - In 3) O y = In(3) x + 3(1 - In 3) Оу- 3x- 3 (1- In 3) O y = In(3) x + 3

Q: find y' and the slope of the tangent line to the graph of  (3x - 2y)^7 = 2y^2 - 9 at the point…

A: The given equation is- 3x-2y7=2y2-9 Since, y' =dydx is the slope of the tangent line, Then…

Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 - 8x + 1), (8, 0) y…

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Q: Find an equation of the tangent line to the graph of  y = x(x + 3)5 at the point (1, 1024).

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Q: Find h'(-2) if h = f • g, f(x) = -6x2 – 4 and the equation of the tangent line of g at -2 is y = -9x…

A: Slope of y=-9x+6 is = -9 This line is tangent to g at x=-2  So we get: g'(-2)= -9   The tangent line…

Q: . Get the derivative of the given function. 2. y - In 7x

A: Solving the problem by finding the derivative of the function.

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4-x- In(x+…

A: The function is given by y = 4-x2-ln12x+1 The point is x0,y0 = 0,4 To evaluate the equation of the…

Q: 4. Write an equation for the line tangent to the curve f(x)=" In(3x) -at x=1

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Q: Find the slope of the line tangent to the curve x - 3xy + 4x = 2 at x = 1. -5/3 O 2/3 O 1/3 O 4/3

A: The given curve is: x3-3xy+4x=2 We need to find the slope of the line tangent to the given curve.…

Q: 15. Find the equation of the curve whose slope at any point is equal to -(y +1)/(x + 1) and which…

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Q: Find the slope of the tangent line to the graph at the given point. x3 + y3 – 6xy = 0,     (4/3,…

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Q: Find an equation of the tangent line to the curve atthe given point. y= In (x3 - 7) , (2 ,0)

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Q: Find y' and the slope of the tangent line to the graph of (3x- 2y)° = 2y2 - 9 at the point (1,2).

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Q: he line tangent to the graph of y=In(3x)+ 2x e at x =1 6

A: Equation of line is given as   y-y0 = dydxat x=1*(x-x0) Given,x0 = 1y = ln(3x) + e2x6y0 = ln(3x0)…

Q: Find an equation of the tangent line to the graph of the equation x2+9xy +y2 =25 at point (0, 5)

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Q: Find the equation of the tangent line to the graph of y = -2x° + 6x? – 5x + 10 at the point (1,5) in…

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Q: Find the equation of the tangent line to the graph of x4y16=1 at the point (81,1/3) and at the…

A: We use slope point form to equation of tangent line.

Q: Find the equation of the tangent line to the graph of y = 2x - (4 / √x) at the point (4, 6).

A: Given,            y = 2x - 4x and Point is 4, 6

Q: Find an equation of the tangent line to the graph of Y = e2x-3 at the point (3/2,1).

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Q: Find an equation of the line tangent to the graph of the function: f(x) = V2x² – 1 at point P(-1;1).

A: Given:- f(x) = (2x2-1)(1/3)  To find:- Equation of tangent line at point p(-1, 1) on given curve

Q: Find y′and the slope of the tangent line to the graph of ​(2x-5y) 5=4y2 -3 at the point ​(3​,1​).

A: Find y′and the slope of the tangent line to the graph of ​(2x-5y) 5=4y2 -3 at the point ​(3​,1​).…

Q: 3. Find the equation of the tangent line to the graph of x y + 7xy = 30 at the point (-5, 2). %3|

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Q: Find the equation of the tangent line to the graph of 3x- xy + y - 9 = 0 at the point (2, -3).

A: The graph of 3x3-x2y+y3-9=0 at the point 2,-3

Q: 1. Find the slope of the line tangent to the graph of f (x) = x³ In (x² – 5x + 7) at x = 2. - Do NOT…

A: We have to find slope to given equation by derivative.

Q: The slope of the tangent line of the graph of the equation xy2-3x² - 2y=-3 at the point (1, 2) is a)…

A: The given equation is xy2-3x2-2y=-3. The objective is to calculate the slope of the tangent line of…

Q: 4. Find the equation of the tangent line to the graph of x3-3xy+ y2 +19 =0 at the point in the…

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Q: (4) Find the equation of the line tangent to f(x) = 12√ - 2² at the point (4,8).

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Q: Find the slope of the tangent line to the graph at the given point. (x² + y²)² = 4x²y, (1, 1)

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Q: Find the slope of the tangent line to the graph at the given point. (x² + y²)² = 4x²y, (1,1)

A: To find slope of tangent of a curve at a given point, we need to find differential at that point

Q: 4) Find the equation of the line tangent to h(x) = (2-x)(x³ +4x-4) at x=1.

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Q: Find an equation of the tangent line to the curve at the given point. y = In(x2 – 8x + 1), (8, 0)

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Q: 3. Find the equation of the tangent line to (x*+ y°)* +50xy = 0 at the point (2,-4).

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Q: find an equation for the tangent line to the graph of y=(5-2x)^2 at (3,1).

A: Explanation of the answer is as follows

Q: 7. Find the slope of the tangent line to the graph at (1,1): x2y? - 9x2-4y2 = 0 x-9-4-0 (-4, 2/3)…

A: x2y2−9x2−4y2=0 Use implicit differentiation to find the slope of x2y2−9x2−4y2=0 Implicit…

Q: 1 Find an equation of the line tangent to y at point (0, -). X-3

A: Given y=1x-3 at point 0,-13 To find equation of line tangent:

Q: Find an equation of the tangent line to the graph of  y = x(x + 2)4 at the point (2, 512).

A: The tangent is given by dydx So, In this question we differentiate y with respect to x and then put…

Q: Find f(x) if f(2) = 3 and the tangent line at x has slope (x - 1)e - 2x, - 2x 3 fx) 2

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Q: What is the slope of the tangent line that touches the graph of Iny+e2x-1 = 3y – 4x at the point A 1

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Q: Find an equation of the tangent line to the graph of y = g(x) at x = –1 if g(-1) = 5 and g' (-1) =…

A: Concept: The Equation of tangent to the graph y = g(x) at point (x1,y1) is given by: (y -y1) =…

Q: find the equation of the Tangent and normal line of the function y3 +3xy + x4 =5 at the point (1,1).

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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: 15. Find the equation of the curve whose slope at any point is equal to -(y + 1)/(x +1) and which…

A: We have to find the equation of line when given slope and passing through the point

Q: Find an equation of the tangent line to the graph of  y = x(x + 2)4  at the point (1, 81).

A:

Q: Find the slope-intercept equation of the line tangent to the graph of y = 2lnx when x = 5. 2 -x-…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = 5x−2, (2,…

A: Find an equation of the tangent line to the graph of the function at the given point. y = 5x−2, (2,…

Q: Find the function whose tangent line has the slope 8x² + 3 for each value of x, and whose graph…

A: To find the function:

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: 3. Find the equation of the tangent line to the graph of x²y + 9xy= 162 at the point (-3, 6).

A:

Q: Find the equation of the line that is perpendicular to the tangent line to f(x) = x4+1 at x = 2 and…

A: Answer and explanation is given below