Find the point on the graph of the function where the tangent line satisfies the given condition Condition: The tangent line to Is  F(x)= 3x2-2x+1 perpendicular to the line x+4y-1.

Q: Find all points on the graph of f(x) = x +a where the tangent line is parallel to the line y = 28x.…

A: Consider the function f(x) = x3 + x Slope of the tangent to f(x) is the derivative of f(x). f'(x) =…

Q: Let f(x) = (x – 3)(5x + 7). Find an equation for the tangent line to the graph of f at x = 2.…

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Q: Find the tangent line to the function f (x) = x² – 4x + 5 at the point (3,2).

A: To find: The tangent line to function fx=x2-4x+5 at the point 3,2. Formula used: The slope 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 equation of the tangent line to the function f(x)=2x^3+3x^2+4x+2 at the point where x=−1

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Q: Find all the value(s) of x at which f(x)=(7x^3/3)+3x^2−x+9 has a horizontal tangent line.

A: The values of x at which the given function has a horizontal tangent line can be found by evaluating…

Q: Find all points (x, y) on the graph of f(x) = x - 3x + 8x + 23 with tangent lines parallel to the…

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Q: . Find the equation of the tangent to the curve f(x) = 2x + 3x – 2x + 3 at the point where x = 1.

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Q: Find all value of x=c, so that the tangent line to the graph of f(x) at (c,f(c)) will be horizontal…

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Q: Given that the graph of f(x) passes through the point (3, 10) and that the slope of its tangent line…

A: Consider the given slope of tangent of the function at x,fx is 2x+6

Q: Find all points (c, f(c)) on the graph of f(x) = x3 −3x2 where the tangent line has slope 9.

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Q: Given that the graph of f(x) passes through the point (8,8) and that the slope of its tangent line…

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Q: Find the tangent line to f(x) = (2-4x^2)^5 at x=1

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Q: Find the equation of the tangent line to the graph of the function f(x)=(x2+7)(x−2)fx=x2+7x−2 at the…

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Q: Given that the graph of f(x) passes through the point (7, 3) and that the slope of its tangent line…

A: Use the fact that derivative of a curve is the slope

Q: If  f(x) = 7x2 − x3,  find f '(1) and use it to find an equation of the tangent line to the curve…

A: Given curve , y=fx=7x2-x3∴ Derivative of fx is                        f'x=ddx7x2-x3…

Q: 5x f(x)= x²-2

A: We have to find the equation of tangent line of the given function. So first of all we will find…

Q: If f(x) = 9x2 − x3, find f '(1) and use it to find an equation of the tangent line to the curve y =…

A: Given  fx =9x2-x3  Differential both sides w.r.t x and using ddxxn=nxn-1

Q: Find the equation of the tangent line to the function f(x)=x3+x2−x−3 at the point where x=−2.Select…

A: We have been given a polynomial function as shown below and we are supposed to find equation of line…

Q: If f(x) = 7x2 − x3, find f '(1) and use it to find an equation of the tangent line to the curve y…

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Q: For the function f(x) = 2x^2 +7x-6 Find equation of the tangent line to f(x) at x = 6.

A: Given: fx=2x2+7x-6

Q: Let f(x)=(x−10)(5x+2). Find an equation for the tangent line to the graph of f at x=7.

A: Given,

Q: Find an equation for the line tangent to the graph of…

A: Given function is fx=-2xex To find: Th equation of tangent line at point a,fa for a=2 Solution:…

Q: Find the equation of the line that is tangent to the graph of the functio f(x) = x+1 at the point T…

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Q: Given that the graph of f(x) passes through the point (8, 4) and that the slope of its tangent line…

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Q: Given that the graph of f(x) passes through the point (4, 3) and that the slope of its tangent line…

A: topic - functions

Q: find the equation for the tangent line to the graphs of f(x)=2x^2-2x+3 at the point where x=1.

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Q: The slope of the tangent line for the function f(x) = x^4 – 3x^3 + x^2 – 2x + 8 at x = 1 is

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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: Given that the graph of f(x) passes through the point (8,10) and that the slope of its tangent line…

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Q: Let f(x) = 5x + 20x². Then the equation of the tangent line to the graph of f(x) at the point (2,…

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Q: If  F(x) = 12x/(3 + x2),  find F '(3) and use it to find an equation of the tangent line to the…

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Q: If f(x) = 5x2 − x3,find f ' (1) and use it to find an equation of the tangent line to the curve y =…

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Q: Find all values of x for which the tangent line of f(x) = / x² + 18x+96 is horizontal.

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Q: Find all x-values where f(x) = (x² + 2x – 3)4 has a horizontal tangent line.

A: We find f ' (x) using the chain rule and the power rule. f(x)=(x2+2x-3)4…

Q: a) Find the points at which the tangent line to the graph of function f(x)=2x²-24x+6 has slope equal…

A: Let y=f(x) be any function, then    Slpoe at any point, m = df(x)dx

Q: Find the values of x at which the graph of f (x) = 4x² – 3x + 2 has a tangent line parallel to the…

A: Note : As per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: Write an equation of the tangent line to the graph of y = f(x) at the point on the graph where x has…

A: To write an equation of the tangent line to the graph of, y=fx, at the point on the graph where x…

Q: Given that the graph of f(x)  passes through the point (4,10) and that the slope of its tangent line…

A: Given that the graph of f(x)  passes through the point (4,10) and that the slope of its tangent line…

Q: Find the equation of the tangent line to the graph of f(x) = 7.xe" %3D at the point at which x = =0.

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Q: Find the point where the tangent to the graph of f(x)= -x^2-6 is parallel to the line y=4x-1

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Q: If f(x) = 9x2 – x³, find f'(1) and use it to find an equation of the tangent line to the curve y =…

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Q: Find the slope of the tangent line to the graph of f(x) at the point (1,2). The function is…

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Q: Given that the graph of f(x) passes through the point (10, 8) and that the slope of its tangent line…

A: Solution )slop of tangent line                f'(x) = 2x + 5 Intregating both sides  ∫f'(x) =…

Q: Given that the graph of f(x) passes through the point (5,10) and that the slope of its tangent line…

A: The graph of f(x) passes through the point (5,10) and that the slope of its tangent line at (x,f(x))…

Q: Find the equation of the tangent line to the graph of the function f(x)=(x2+8)(x−3) at the point…

A: Given: y=fx=x2+8x-3 at 0,-24 we know that for finding equation of tangent we need to find slopem of…

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

A: Given curve Now, we find f'(x) We know that slope of tangent line to the curve y=f(x) at point x=a…

Q: Find the equation of the tangent line to the function f(x)=−x^2−3x+4 at the point where x=−3

A: The given function is: f(x)=-x2-3x+4

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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Q: Find all r-values where f(x) = (x2 + 2x - 3)4 has a horizontal tangent line.

A: The function f(x)=x2+2x-34. We have to find all x-values where the function f(x) has a horizontal…