Find the slope and an equation of the tangent line to th 3 2 3. f(x) = + 8x + 8; (-1, 21 slope 11 equation IT

Q: For the​ function, find the​ point(s) on the graph at which the tangent line has slope 5.…

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Q: Write the tangent line equation. (3) xy =-4 P(2,-2)

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Q: Find the equation of the curve whose slope at any point (x, is given and which passes through the…

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Q: =2(3x2)^ has two horizontal tangent lines. Find equations for both of them.

A: y=23x2xy'=2ln3x2+23x2xLet the tangent line equation is given byy-y1=mx-x1y-y2=m1x-x2m=m1=0...as…

Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

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Q: Find an equation for the line that is tangent to the curve y = 2x3 - 8x at the point (2,0). (Type an…

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Q: Find equations of the tangent lines to the curve y = 6 n) at the points (1, 0) and (e, at the point…

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Q: Find the slope and equation of the tangent line to the graph of the equation at a given point. Show…

A: Slope- Point form : y-y1 =mx-x1 ; where ,'m' is slope and x1,y1 point.

Q: Find the equation of the tangent to the curve y=x^2 -3x +4 at the point where the tangent makes an…

A: given that tangent to curve y=x2-3x+4 makes an angle of 135 degrees with x axis.

Q: Find an equation of the curve whose tangent line has a slope of f'(x)=x^7/9 given that the point…

A: Given : f'x = x79

Q: Find the equations of all tangent lines to the graph of y=x -7 x+ 49 that pass through the origin…

A: Equation does not passing through origin.  Hence there are no tangent line whose passing through…

Q: Find an equation of the line that is tangent to the graph of y = /1+x³ at the where r = 2. Write the…

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Q: 4. What is the slope when you illustrate tangent line to the graph of the equation y 2x2 – 3x + 5 at…

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Q: Find the slope of the tangent to the graph of the given functionf(x)=7x^3 at the point (-3,-189

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Q: 1. Find the slope of the line tangent to the graph of the function defined by fix) - 3x - 2x- I at…

A: We’ll answer the 1st question since we answer only one question at a time. Please submit a new…

Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

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Q: Find an equation of the tangent line to the curve at the given point.   y= square root of 1-8x,…

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Q: A curve is given by the equation x4 + y = 82. Find the equation of the line tangent the curve at…

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Q: Find equations of all tangent lines to the graph of y = 4x + 40x² + 125x + 118 which pass through…

A: We have given equation of graph y=4x3+40x2+125x+118. We have to find equations of all tangents which…

Q: 3. Find the equation of tangent line of the function f(x) = at the point %3D (6, 4).

A: f(x)=8x-2, at (6,4)Conceptpoint slope form is y-y1=m(x-x1)m is f'(x) at the given point

Q: 3. Determine the equation of the tangent to y = x² + 6x + 9 which has a slope of 6. Sketch the graph…

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Q: Find an equation for the line that is tangent to the curve y= 4x° - 4x at the point (1,0). The…

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Q: x-2 What is the equation of the tangent line of y at the point x = 3 ? 2x-5

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Q: Write an equation of the tangent line to the curve f (x) = 3//a + 8x at the point (4, f (4). Upload…

A: We have to calculate slope of the tangent

Q: The derivative is the slope of the tangent line at any point. Find the equation of the tangent line…

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Q: Write an equation of the tangent line to the curve f (x) = 2// + 3x at the point (4, f (4)). Upload…

A: Here, the given equation of the curve is: f(x)=2x+3x To find the slope and the equation of the…

Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

A: Slope of the tangent line is the derivative of the given function at the given point. So…

Q: Write an equation of the tangent line to the curve f (x) = 3/ Va + 8x at the point (4, f (4)). %3D…

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Q: Find an equation of the line tangent to the graph of f(x) = 2x° at (1,2). The equation of the…

A: We will find required equation of  line tangent in the following step.

Q: If x^4+y=-4-2xy then find the equations of all tangent lines to the curve when y=-4

A: Givenx4+y=-4-2xy            ⋯(1)To find:The equation of all tangent lines to the curve when…

Q: Find the equation of the tangent line to the curve y = (x- 1)°(x+ 3)² at the point (2,25). The…

A: Firstly ,find the derivativw of y and then put the value of x coordinate of point to find the slope…

Q: Write an equation of the tangent line to the curve f (x) = 10//7 + 6x at the point (4, ƒ (4)).…

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Q: Find the slope of the tangent to the curve y = 3 + 4x² - 2x³ at the point where x = a A. THE…

A: We can find the slope at the given point in the following steps.

Q: 15 points) Find the equation of the tangent line to the graph ofx2−4xy−3 = 0 at (1,−12)

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Q: Find an equation of the tangent line to the graph of the function f defined by the equation at the…

A: Equation of tangent in slope - intercept form:- y=mx+c We need to find the value 'm' and 'c' Since m…

Q: Find an equation of the line tangent to the graph of f(x) = - 1 – 3x at (– 3, – 28). The equation of…

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Q: Find an equation of the tangent line to the curve at the given point. x2 (4, 16) y (Express numbers…

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Q: Find the equation of the tangent line to the graph of the function f(x)=(x^2+9)(x-3) at the point…

A: Given : f(x) =(x2+9) (x-3)

Q: 3. If f(3) = 2 and f'(3) = -4, find an equation of the tangent line when x = 3. %3D %3D

A: Given : f3 = 2f'3 = -4

Q: The tangent line to a certain curve at any point P(x, y) has an x-intercept (not slope) equal to 3…

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Q: Find the equation of the tangent line to the curve y = (x- 3)° (x+ 5)² at the point (4,81). The…

A: Solution:- calculate slope

Q: Thus, the slope of the curve at P(2, - 32) is - 36. b. Use this slope and the given point (2, – 32)…

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Q: Find the slope and an equation of the tangent line to the graph of the function fat the specified…

A: Given that: The function f(x) = x + 1x and point 16, 174 .

Q: Find an equation of the line tangent to the graph of f(x) = 5 – 5x at (3, – 40). The equation of the…

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Q: how do you find the  (a). equation of the scant line through the points wehre x has the given…

A: The given equation is f(x)=x^2+2x.

Q: 3 Find an equation for the line that is tangent to the curve y=2x-2x at the point (-1,0). The…

A: Given.

Q: Find equations of the two tangent lines to the graph of f(x) = x that pass through the point (-1,…

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Q: Find the slope and an equation of the tangent line to the graph of the function f at the specified…

A: To determine: The slope and the equation of the tangent line to the graph of the function f at the…

Q: Find an equation of the line tangent to the graph of f(x) = 3– 7x at (-4,- 109). The equation of the…

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Q: At any point (x, y) on a particular curve the tangent line has a slope equal to 3x2 – x – 1. If the…

A: Solve for the equation