Find the equation of the tangent line to the graph of the function at the indicated coordinates. 1. f(x)= x-3x² (-2, 14) 2. f(x)= -1+2x+3x² (0, -1)

Q: Find the slope m of the tangent line to the graph of the function at the given point and determine…

A: we will find the slope and equation of tangent

Q: Find the points at which the graph of the equation has a vertical or horizontal tangent line. 81x2…

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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…

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Q: Find an equation for the tangent line to the graph of the given function at (- 2,6) f(x) = x? +2…

A: Given function is as below: f(x)=x2+2

Q: find the slope of the tangent line to the graph of the following function at the given point fx…

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Q: Find the slope and an equation of the tangent line to the graph of f(x) = 2x + sqrt(x) the point (1,…

A: Given line :

Q: for the function, how do you find (a). the equation of the scant line through the points where x has…

A: Part (a)y = f(x) = x2 +2x ;    x1 = 3 and x2 = 5x1 = 3; hence, y1 = x12 +2x1 = 32 + 2 x 3 = 15x2 =…

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

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Q: Find an equation of the tangent line to the curve at the given point. y = 3x3 − x2 + 7,  (2, 27) y…

A: In

Q: The slope of the tangent line at any point (x, y) on the curve 3x2 -2x+ 7 and the point (1. 3) is on…

A: Given slope is 3x2-2x+7 and the point is (1,3)

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: Find an equation of the tangent line to the curve at the given point. y = x3 − 2x + 2,    (4, 58)

A: Here we find the  equation of the tangent line to the centrey=x3-2x+2  at the point 4,58

Q: The slope of the tangent line at any point (x, y) on the curve 3x2 -2x+7 and the point (1, 3) is on…

A: Please refer the attached image for complete solution. THANK YOU.

Q: Find the equations of the two tangent lines to the graph of f that pass through the indicated point.…

A: The given function is f(x)=4x-x2   from given figure it is observed that the points are 1,3  and…

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 equation of the tangent to the graph of f(x) = x-3 at the point (5, 4). Start by evaluating…

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Q: Find an equation of the tangent line to the graph at the given point. 3(x2 + y2)2 = 100(x? – y2),…

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Q: 1) Find the slope of the tangent lines on the curve y = 6x + 24x -39x - 43 at points | (-5,2) and…

A: Slope of line is given by m = dy/dx = tan θ y = 6x3 + 24x2 - 39x - 43  Differentiating with respect…

Q: Find the equation of the tangent line to the graph of x2y2+ 2xy = 24 at the point (-3, 2).

A: givenx2y2+ 2xy = 24      and point (-3,2)diffentiate this equation for calculating slope of tangent…

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: Find an equation of the tangent line to the curve at the given point. y = (1 + 4x)8,  (0, 1)

A: The equation of the tangent at a point (a,b)on the curve y=f(x) is given by, y-b=f'(a) (x-a)

Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 − x2 + 3,  (2, 15)

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Q: Find the equation of the tangent line to the graph at the indicated point. f(x)=x^2-1 ; x=8

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Q: Find an equation for the tangent line to the graph of the given function at (-2,3). f(x) =x - 1 Find…

A: Topic:- application of derivatives

Q: The slope of the tangent line at any point (x, y) on the curve 3x2 -2x+7 and the point (1, 3) is on…

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Q: Find the slope of the tangent line to the graph of the function at the given point. f(x) = 9x − 2x2…

A: Given function f(x) = 9x-2x2

Q: Find equations of the tangent lines to the graph of f(x) = (x + 1)/(x − 1) that are parallel to the…

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Q: 11. What is the slope of the tangent line to the curve y = 3x2 - 5 at point (-1,-2)? а. -5 b. -6…

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Q: parabola y = x2 - 6x + 7 at the point (2, -1). SOLUTION From the previous example, we know the…

A: Given query is to find the equation of the tangent line on f(x).

Q: Find an equation for the tangent line to the graph of the given function at (-3,6). f(x) = x2 - 3…

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Q: 5. Determine the slope of the tangent at point (1,5) on the graph of f(x) = (9 – x²)} + 1.

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Q: If the equation of the tangent line to the graph of the function f(x) at the point (3,-6) is 2y + 5x…

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Q: Find an equation of the tangent line to the curve at the given point. y = 2x3 − x2 + 8,  (2, 20)

A: Given, The equation of a curve is y = 2x3 − x2 + 8 at  point (2, 20)

Q: Find an equation for the tangent line to the graph of the given function at (- 3,13). f(x) = x² + 4…

A: From the given problem:   fx=x2+4px1,y1=-3,13   The expression for the slope of the tangent to the…

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 graph of the function f defined by the equation at the…

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Q: find an equation of a tangent line to the graph of the function (xy^3 +2x^3-x=16) when y=1

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

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: 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 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: Find the slope m of the tangent line to the graph of the function at the given point and determine…

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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: Find the equation of the tangent to the curve y= 3 + 2x - x 2

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Q: How do you find the equation of the tangent line of the given value of x.

A: Calculation:Compute the value of f(x) at x = 4 as follows.f(4) = 2 − √4f(4) = 0.Now differentiate…

Q: line has a slope of f ' ( x ) = 7x -10 / 11 given that

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

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Q: Find an equation of the tangent line to the graph at the given point. (x + 2)2 + (y − 3)2 = 37,…

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Q: Find an equation of the tangent line to the graph of f(x) = 5 - 5x at (4, - 75). The equation of the…

A: (a) Our Aim is to find the equation of tangent line to the graph f(x)=5-5x2 at…