|Find the point(s) on the curve f(x) = x² where the tangent is parallel to the line 4x-y-1= (

Q: Find the equation of the tangent and normal line of the function f(x) = 2x – 1 at the point (5, 3).

A: fx=2x-1   First find equation of tangent line of given function  We need to find the slope of…

Q: Find the points on the curve where the tangent is horizontal or vertical. x = - 3t, y = t² - 8…

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Q: 5. Find using first principles the slope of the tangent to f(x) = x² + 6x + 9 at x = -3.

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Q: Find the equation of the tangent line to the graph of the function f (x) = V 4x4 +12 at the point…

A: Given: The equation of a function is, f(x)=4x4+12. The objective is to find the equation of…

Q: Find all points (x,y) on the graph of f(x) = 2x3 + 1 with tangent lines perpendicular to the line y=…

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Q: Find the line tangent to the graph of f(x) = x² + x +1 at xo = 2

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Q: Determine the slope of the tangent line to the curve (;² – 2x – 8) 2 -9 R(x) = at the point where…

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Q: 4. At what point on the graph of y =x2 is the tangent line parallel to the line 2x – 4y = 3?

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Q: Determine the point on f(x)= 2x^e where the tangent is parallel to the line y= 2x-12

A: The equation of the curve is  f(x) = 2xe The line parallel to the tangent line on the graph of the…

Q: Find the equation of the tangent line to the graph of f (x) = x² – 3 at the point (3, 6). Answer y =

A: Find the equation  of the tangent  line to  the graph  offx=x2-3   at the point  3,6Answer:We  have…

Q: What is the equation of the tangent line to the function f(x) = a? + 5x at the point (1, 6)?

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Q: Find an equation for the line tangent to the graph of  f(x)= 2xex at the point (3,f(3)). y=?

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Q: Apply the product rule to find the tangent​ line, in​ slope-intercept form, of y=​f(x) at x=3.…

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Q: Determine the equation of the tangent plane of the graph of the function f(x, y) = 3x²y-2y³ In the…

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Q: What is the slope of the tangent line to the graph of y=x^4-3x^2+x+2 at x=-1? [a] What is the…

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Q: Find the​ x-coordinates of all points on the curve y = (-x^2+4x−3)^3 with a horizontal tangent…

A: We know the slope of the tangent where it is horizontal is 0. we will need to find the derivative of…

Q: 2. Find the slope of the tangent line to the curve f (x) = -1 2 at x

A: Given: f(x)=2x

Q: Find the points on the curve y= x 4-6 x2 +4  where the tangent line is horizontal.

A: Find the points on the curve y=4x-6x2+4  where the tangent line is horizontal.

Q: Let f(x) = (x - 12) / (2x + 6) Find an equation for the tangent line to the graph of f at x = 2 y =…

A: We find f'(x) first using quotient rule

Q: Find all points on the curve  x 2  y 2 + xy = 2  where the slope of the tangent line is - 1

A: We first find dy/dx using implicit differentiation

Q: Find the slope of the tangents to the curve at the points (P1 and P2) where it crosses (the x-axis.…

A: The curve will cross the x-axis when it's y intercept become zero.   Slope of curve at any point is…

Q: Find an equation of the tangent plane to the graph of f(x, y) = 4x² - 7xy² at the point (7, 8). z =

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Q: Find all points (x, y) on the graph of y = x/(x - 2) with tangent lines perpendicular to the line y…

A: Given:

Q: Find a point on the curve y=x2−2x−3 at which the tangent is parallel to the x−axis.

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Q: find all points (x,y) on the graph of f(x)=3x^2-5x with tangent lines parallel to the line y=7x+1.

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Q: Let f(x) = 2x + 3 – 17e". Find the equation of the tangent line to the graph of f(x) at the point…

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Q: Find the slope of the tangent line to the parabola y= 2 +x−x^2 at the point (0,2).

A: Simply take the derivative of the given equation and substitute the given point.

Q: 2. Find the coordinates of the points on the curve y = r' - x² – x +1 where the tangent line is…

A: Solution:- step-by-step solution of above  question is given below.. The given curve is  y=x3-x2-x+1…

Q: Find the values of x where the tangent line is horizontal. f(x) = x³ + 3x² – 12

A: The tangent line is horizontal when the slope is equal to 0 dy/dx = 0 y = x3+3x2-12 dy/dx = 3x2+6x…

Q: Find the equation of the tangent line to the function f(x)=2x2-x  at the point where x=−1. Give your…

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Q: find the x-coordinates of the point on the curve y=2x^3-3x^2-36x-1 where the tangent is horizontal.…

A: For finding tangent is horizontal take slope 0

Q: Find the equation of the tangent and normal line of the function f(x) =√(2x − 1) at the point (5,…

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Q: Find the slope of the line tangent to the curve y = sin' x at the point where x-x/3

A: We have to find the slope

Q: B - Find the point on the curve y = x3 + x2- 1 where the tangent parallel to the x- axis.

A: Topic- slope of tangent and application of derivatives

Q: a) Find the slope of the tangent to the curve y = 3+ 4x2 – 2x³ at the point where x = a.

A: We are suppose to solve the problem by application of derivative.   NOTE :: As per our guidelines we…

Q: Find all the points on the curve x^2y^2+xy=2 where the slope of the tangent line is equal to -1

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Q: Find the tangent line to the curve (x-3y)²+8x+12=0 at the point where y=0

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Q: Find the slope and equation of the tangent line to f(r) = 3+3x at a 3 using the definition. %3D

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Q: Compute f '(x) and find an equation of the tangent line to the graph at x = a.

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Q: Find all points ( x,y) on the graph of f(x) = 3 x² – 4x with tangent lines parallel to the line y=…

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Q: Find the points on the graph of f(x) = where the tangent line is horizontal. x2+2

A: Given query is to find the points where tangent is horizontal.

Q: Let f(x) = 2x* + 3x° + 10. Find the equation of the line tangent line to the graph of Y point (1,…

A: Given  f(x) = 2X⁴ +3X³ +10 We need to find the equation of tangent of f(x) at the point (1,15)

Q: If f(x)  = 3x2 -x3, find f'(1) and use it to find an equationof the tangent line to the curve  y=…

A: Given that, y=fx=3x2-x3      ...(1)

Q: Find all points on the curve y =x3 +-x* + 6x² where the tangent is horizontal. 3

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Q: Find the point where the tangent line to y = a" at a = 0.6 crosses the x-axis. x-intercept =

A: X- intercept is x=0.45 See the calculation below

Q: Find all points (x, y) on the graph of y with tangent lines perpendicular to the line y = 4x - 5. (x…

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Q: fa) =x3-6x*+15x-2, Please find for the tangent line to f "x) (8,1)

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Q: Find the point on the curve y=x³ at which the tangent is parallel to the tangent at the point on the…

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Q: Find all the points on the graph of y=f(x) at which the tangent line has the given slope.…

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Q: Find the slope and equation of the tangent line to f(x) =4+2x at a 3 using the definition.

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