If f (x)= x2 - 4x, at which point on the graph f (x) is the tangent line horizontal

Q: The slope of the tangent line to the graph of the function y = 7V-3 at (9, 18) is

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Q: Find the equation of the tangent line to the graph f(x) = 2x² + 5 at P(-1,7)

A: We will find out the required equation of tangent.

Q: If the slope of the tangent at any point of a function f passing through the point (2,-2) Is e^(-…

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Q: Find the slope-intercept equation of the tangent line to f (x) = 3x² – 4x + 5 at the point (1, 4).

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

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Q: Find the points on the graph of f (x) = x3 − 3x2 + x + 4 where the tangent line has slope 10.

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Q: Find an equation of the tangent line to the graph of y=-8x/x^2+1 at the origin and at the point…

A: To find the slope of the tangent we find dy/dx We will use the quotient rule

Q: The equation of the tangent line to the graph of f(x) = 2x3 − x2 at the point (-1,-3) is

A: We have to find the equation of tangent of the given graph at (-1,-3), we know that slope of the…

Q: Find the equation of the tangent line to the graph of the function f (x) = /4x³ + 5 at the point…

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Q: Find an equation of the tangent line to the graph of f(x) = 4 - x2 at the point (-1,3).

A: Solve for the equation

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

A: We know that the equation of tangent line to the curve y=fxat a point x1,y1 and having slope m at…

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

A: Given : f(x) = (x² + 8)(x - 3) at the point      (1, -18)

Q: Find an equation of the tangent to the curve f(x) = 2x2 - 2x + 1 that has slope 2.

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Q: Find the slope-intercept equation of the tangent line to the graph of f(x) = x2 at (-3, 9).

A: Consider the following function: fx=x2 Differentiate fx with respect to x: ddxfx=ddxx2f'x=2x…

Q: Find an equation of the tangent line to the graph of y = f(x) when x = 2 if f(2) =-6 and f'(2) =5.

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Q: At what point on the graph of f ( x ) = 2x 3 - 3x 2 - 8x is the tangent line equal to 4?

A: Given that: fx=2x3-3x2-8x To calculate the slope of the tangent line of given function,…

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 line tangent to the graph of ƒ(x) = (2x - 1) (x + 4) at (1, 5).

A: To findEquation of the line tangent to the graph y=(2x-1)(x+4)  at (1,5)⇒y=2x2+7x-4.

Q: Find the equation of the tangent line to the graph of y = 2x - (4 / √x) at the point (4, 6).

A: Given,            y = 2x - 4x and Point is 4, 6

Q: Find the equation of the tangent line to the graph of f(x)=4x^3 + x^2+9 when x=-2

A: The objective is find the equation of the tangent line to the graph

Q: Find an equation of the tangent line to the graph of y = 2x/x2+1 at the origin and at the point…

A: use differentiation for finding the slope and then use slope intercept form for finding the tangent…

Q: 1. Find the slope of the line tangent to the graph of the function defined by f(x) = 4 + 2x - x2 at…

A: As you mentioned only 1 solved

Q: what is the slope of the tangent line to f(x)=5x3-6x2-3         at x=1 ________________ (2x-1)3

A: Calculation:Consider the function f(x) =( 5x3 -6x2 -3) / (2x - 1)3.Obtain the slope of the tangent…

Q: Find an equation of the tangent line to the graph of f(x)=x^2+3x-7 at the point (1,-3)

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Q: Find the equation of the tangent line to the graph of x3 -xlny+y3=2x+5 at the point where x=2

A: x3 -xlny+y3=2x+5 To find out the equation of tangent line , we need to find out slope  Slope is the…

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

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Q: 4. Find the slope of the line tangent to the graph of 1 f (x) = 2x4 – 32x3 + 17x2 – 9x + 4 at x 2 -…

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Q: Find an equation for the tangent line to the graph of f(x)=2x^2-9lnx at the point where x=2.

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Q: Find the equation of the tangent line to f(x) = 4x² -5x+2 at (-1,11).

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Q: Suppose the derivative of the function y​f(x) is (x-1)^2(x-5)(x-2). At what​ points, if​ any, does…

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Q: Find the slope of the tangent line to the graph at the given point. (x² + y²)² = 4x²y, (1, 1)

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Q: Find the slope of the tangent line to the graph at the given point. (x² + y²)² = 4x²y, (1,1)

A: To find slope of tangent of a curve at a given point, we need to find differential at that point

Q: What is the maximum slope of a tangent to the function f(x) = −x3 + 4x − 2?

A: Maximum slopes of tangent to function is 4.

Q: Find the slope of the tangent line to f(x) = √9x³ at the point x = 4.

A: We have to find the slope of the tangent line to f(x)=9x3 at the point x=4.

Q: Find the equation of the line tangent to the graph of f(x) = ₂ at x = 3.

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Q: If an equation of the tangent line to the curve y = f(x) at the point x=2 is y=4x-5, find f(2) and…

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Q: Find the equation of the line tangent to the graph f(x) = – at the point (4,1).

A: Given:            fx=4x To find the slope of the tangent line, find the value of the derivative of…

Q: At what point on the graph of f ( x ) = 2x 3 - 3x 2 - 8x is the slope of the tangent line equal to…

A: The function is f(x)=2x3-3x2-8x and the slope of the tangent line is given as 4. By definition, the…

Q: find equations of the two tangent lines to the graph of f(x) = x^2 that pass through the point…

A: find equations of the two tangent lines to the graph of f(x) = x^2 that pass through the point…

Q: If (x) = 8x² - x, find f(1) and use it to find an equation of the tangent line to the curve y = 8x-…

A: First of all find derivative and slope

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: Determine an equation for the tangent to the curve f(x) = 2x3 + 6x2 - 2  at x = -3

A: Given query is to find the equation of the tangent.

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: find the slope of the tangent line to the graph at the given point. (x2 + y2)2 = 4x2y,   (1,1)

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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 an equation of the tangent line to the graph of f(x)=3x3+2x when x=1.

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Q: Find the slope of the tangent line to the graph of the function at the given point. F(x) = 2x2 – 5,…

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