3. Find all -values where the graph of f(x) = x³ + 3x² + x + 3 has a horizontal tangent line.

Q: 3. Determine the slope of the tangent at x = -1 on the graph f(x) = (5x² + 1)3.

A:

Q: 4. Write an equation of the tangent line to the graph of f (x)=3x+8x at the point where x= 9.

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

Q: 8 at x Find the equation of the line tangent to the graph of f(x) = 4x° + 2x2 -4x

A: we have to

Q: The slope of a tangent to the curve f(x) = x² + 2x – 5 at the point (3, 10) is : 12 8. -5 10

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Q: Find an equation of the tangent line to the graph of f at the given point.         f(x) = (x − 4)(x2…

A: Given, The function, f(x) = (x − 4)(x2 + 6x − 1).

Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 5x²;…

A:

Q: Find the slope of the line tangent to the graph of f(x)=4x^2 +2x +1 at x=1

A:

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

A:

Q: Find the equation of the tangent line to the graph of f(x)=2xln(x+8) at x=6.

A: Equation of the tangent line to the curve y = f(x) at the point (a, b) will be given by(y - b) / (x…

Q: Find the slope-intercept equation of the tangent line to the graph of f(x)=√xat (4, 2).

A: fx=x    at 4,2 slope intercept equation:y=mx+cNow we find slope…

Q: Find an equation of the tangent line to the graph of f (x) = x2 at x = 5.

A: fx=x2x=5

Q: 14. Find the equation of the line tangent to the graph of f(x) = 2x3-x + 1 at x = -1. %3D

A:

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: 1) Find the equation of the line tangent to the graph of f(x) = (x² + 1)(x³ + 1) at the point where…

A:

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

A:

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: 3. Find the equation of the tangent line to the graph of f (x) =7-3x-x at x= 1 %3D

A:

Q: 10. (a) Find an equation for the line tangent to f(x) = x³ + 4x² at the point x = 1.

A:

Q: Determine the point(s) at which the graph of -8x f(x) 2x - 1 has a horizontal tangent.

A: Given that  f(x)=(-8x)/(√(2x-1))  The function has a horizontal tangent  To find the point at which…

Q: 5. Find the equation of the line tangent to the graph of f(x)= 2x' +4x² – 5x– 3 at | x = -1.

A: f(x)=2x3+4x2-5x-3diff w.r.t xf'(x) =6x2+8x-5now substitue x=-1f'(-1)=6(-1)2+8(-1)-5f'(-1)=-7slope of…

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 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: 2. Find all points at which the tangent line is horizontal on the graph of the function f (x) = 2x3…

A: The slope of any horizontal line is 0. and the slope of any function is just its first derivative.…

Q: Find the equation of the line tangent to the graph of f(x)=−3cos(x) at x=−π3

A: As we know that: The first derivative of the function is equal to the slope of the tangent line to…

Q: 1. Find the slope of the line tangent to the graph of f (x) = x³ In (x² – 5x + 7) at x = 2. - Do NOT…

A: We have to find slope to given equation by derivative.

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

A:

Q: 42. At what point on the graph of f(x) = -5x² + 4x – 2 is the slope of the tangent line 6?

A:

Q: Find an equation of the tangent line to the graph of f(x) = x2 when x = −2.

A: Given function is fx=x2 To find: The tangent line to given graph when x=-2. Solution:…

Q: 1) Find the slope of the tangent line to the graph of f (x) = x3 + x at x = 3.

A: Application of derivative problem

Q: Find the equation of the tangent line to the graph of f(x) 1 at x = -2. x+6

A:

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: 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 an equation of the tangent line to the graph of f(x)= 5x^2-7 that is parallel to the line…

A: The general equation of line in slope intercept form is y=mx+c where m is slope and c is…

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: Find the coordinates of all of the points on the graph of y = f(x) that have horizontal tangents.…

A:

Q: Find X values of all points on the graph of g=x²³ + 3x² -11x +5 where the slope of tangent line is 3…

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Q: Find the points on the graph of f(x) = 36x – 3x³ where the tangent line is horizontal. %3D

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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: 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: Find the equation of the tangent line to the graph of f(x)=5x3+4x2−1 at x=−1.

A: We have given.

Q: Find the equation of the tangent line to the graph of f (x) = 9x3 - 5x at 13. the point x = 1.

A: Given function is We know that slope of tangent to the curve y=f(x) at point x=a is f'(a) so, slope…

Q: Find the equation of the tangent line to the graph of the function f (x) = x3- 2x + 1 at the point…

A:

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

A:

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

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