Write an equation of the tangent line to the graph of y = f(x) at the point on the graph where x has the indicated value. 6) f(x) (-2x2 + 3x - 2)(-2x + 1), x 0 6)

Q: The tangent line to the graph of y = h(x) at the point ( -1, 4) passes through the point (3, 6).Find…

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Q: Find an equation of the line tangent to the graph of f(x) = (5x − 9)(x + 6) at (2,8). The equation…

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Q: (a) Find the equation of the tangent line to the graph of the function f(x) = 3x² at the point (-2,…

A: (a)   Differentiate the function with respect to x is,   Substitute -2 for x in the above equation.

Q: Find an equation for the tangent line to the graph of the given function at (3,2). f(x) = x² - 7…

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Q: Find an equation for the tangent line to the graph of the given function at (-3,1). f(x) = x² – 8…

A: Given: The function fx=x2-8and the point -3,1. To find: The equation of tangent line to the graph of…

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 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: 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 equations of the two tangent lines to the graph of f(x) = x2 that pass through the point (-1,…

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Q: 10. The slope of the tangent line to a curve is given by f'(x) = 5x + 5x -8. If the point (0,4) is…

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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 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: The slope of the tangent line to the curve at (x,y) point is defined by 3log3 (1- ) (k +1). If the…

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Q: 1 Find the x-coordinates of all points on the curve y= 9x* – 48x° – 90x + 9x + 34 where the tangent…

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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: 10. Find an equation of the tangent line to the graph of y = x - 3x? + 2 at (1,0). 11. Find an…

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Q: Find the equations of the tangent line and normal lines to the graph of the function f(x) = –10x – 2…

A: given function :

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: 9) Give answer in slope-intercept form Find the equation of the tangent line to the graph of y = 3…

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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 the equation of the tangent line to the graph y = f(x) at the given value of x. f(x) = - 4x +7,…

A: Given: f(x)= -4x+7 , x=-1 Equation of line having slope m and passing through (x1, y1) is   (x-…

Q: Find an equation of the tangent line to the graph of the function at the given point. h(x) - (x? -…

A: Solve the following

Q: 7. Find the equation of the tangent line to the curve y = - 1-3x at x =-1 using calculus and…

A: Given curve is y=21-3x At x=-1, y=21-3·-1=21+3=24=12 So, the point is -1,12

Q: - Find the point of tangency and the equation of the tangent line passing through the point p(-4,-2)…

A: Given: Now, f'(x)=-3-2x. At (-4, -2), slope = -3-2(-4) = 5. So, the equation of the tangent line is…

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: the graph at the given point. (y − 3)2 = 4(x − 5),    (9, 7)

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Q: Find an equation for the tangent line to the graph of the given function at (-5,29). f(x)=x² +4 Find…

A: f(x)=x^2+4   (-5,29) slope=m=dy/dx m=dy/dx=d(x^2+4)dx=2x m=2x (-5,29) m=2(-5)=-10

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: Find an equation of the line tangent to the graph of f(x) = (4x-3)(x+2) at (1,3). The equation of…

A: topic- equation of tangent line to the graph

Q: How to find the slope and equation of the tangent line to the graph of the function f at the…

A: We have to find slope and equation of tangent line to f(x) at (2,18) where f(x) is given.We have…

Q: rmine the coordinates of the point(s) on the graph of f(x) = 5x ^3 - 2x ^2 where the tangent line is…

A: We have to find the coordinates of the f(x)=5x3-2x2 where the tangent line is perpendicular to the…

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) =…

A: Given: fx=x+2x-22=y To find the slope of tangent line at point (6,4) ,we need to find the value of…

Q: Find an equation of the tangent line to the graph of the function at the given point. g(x) = ex7 −…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

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 an equation of the tangent line to the graph of g(x) =2--x at the point (2,0). Write the…

A: To find the equation of tangent.

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: ind an equation of the line that is tangent to the graph of f and parallel to the given line.…

A: Given

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 the line tangent to the graph of f(x) = (4x-7)(x+4) at (2,6). The equation of…

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

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Q: Equation of the line tangent to the graph of f(x)=(x)(1-2x)^3 at (-1,1).

A: The given function is: f(x)=(x)(1-2x)3 And, at point (1,-1), we have to find the equation of the…

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…