Question 10. Find all the r-values where the graph of f(x) has a horizontal tangent line given f(x) = (3x – 4)e².

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -5 and g'(3) = 2.…

A: Here, y = g(x)  and g(3) = -5 i.e. when x1 = 3, then  y1 = -5 and g(3)=2 i.e. At x =3, the slope, m…

Q: 21. Find an equation of the tangent line to the graph of f(x) = x² - 2x at (a) (–2, 8); (b) (1, –1);…

A: fx=x2-2x

Q: Question 6 Let f(x) = 3x² + x + 5. a) Find the equation of the tangent line at x = 10. b) For what…

A:

Q: Find an equation of the line tangent to the graph of f at the given point.

A: Find an equation of the line tangent to the graph of f at the given point. f(x)=sin-1(x/4), (2,π/6)…

Q: Find the equation of the line tangent to the graph of f at the indicated value of x. f(x) = In x;…

A: Determine the derivative for f(x). fx=lnx5f'x=ddxlnx5=ddx5lnx5×ddxx5=1x5×5x4=5xSo, f'x=5x

Q: 11. Find an equation of the tangent to the curve y = In(4 + x) at the point where x = 1,

A: We are authorized to solve only 1 question please repost remaining questions Tangent at point to…

Q: 1. Find an equation of the tangent line to the graph of f (x) x+8 at (1/2, -17). x-1

A: The required equation of the tangent line to the graph is y = -36x + 1

Q: Question 1: What is the slope of the tangent of the function f(x) = x² at x = 1? Please work it out…

A: Given a function, fx=x2. To determine the slope of fx=x2 at x=1. (i) From the graph, Consider the…

Q: Let f(x) 3x2 + x + 5.

A: For horizontal tangent the slope is equal to 0

Q: #36 Find the equation of the tangent line to the graph of X²(x²+y²) = y? at

A:

Q: QUESTION 3 · Find the equation of the line tangent to the graph of f(x) = „, at x = 4. z+2 Provide…

A: Given: fx=1x+2 at x=4

Q: 1 Find an equation of the tangent line to the graph of f(x) = c) at a) at (1,1); b) at 3, '27

A: Given - A Function To find - Its tangents at given points

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 2 if g(2) = -6 and g'(2) = 4.…

A:

Q: 22. Find an equation of the tangent line to the graph of f(x) = 4 - x² at (a) (-1,3); (b) (0, 4);…

A: Given: f(x)=4-x2 To Find: the equation of the tangent line to the graph at a) (-1, 3) b) (0, 4)…

Q: 3. Find equation of the curve whose slope at any point is equal to 1– and which Inx x In x passes…

A:

Q: 2. Find an equation of the tangent line to the graph of y =1+4 tan x at x 0.

A: Given:        y = √(1+4tanx)     At x = 0

Q: Find an equation of the tangent line to the graph of the function at the given point.

A: Our Aim is to find an equation of the tangent line to the graph of the function f(x)=e-x-6-(i) at…

Q: Question 9 If the slope of the tangent line to the graph of y=f(x) at x-a is m(a)=2a+1, and f(1)=5,…

A:

Q: IN QUESTION 10, WRITE AN EQUATION OF THE TANGENT LINE TO THE CURVE AT THE GIVEN POINT. 10. f(x) = vx…

A:

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 3 if g(3) = -2 and g'(3) = 6.…

A: we are given y=g(x),g(3)=-2,g'(3)=6

Q: 1. Find the equation of the tangent line at the given point. f (x) = e3x-x², (3,1)

A: We have to find

Q: Find an equation of the tangent line to the graph of y= g(x)at  x = 5 if g(5)  =-3  and g(5)  =4

A: Let us consider g(5)=-3 and g'(5)=4. The equation of a tangent line at the point x=5 on the graph…

Q: Find an equation of the tangent line to the graph of Y = e2x-3 at the point (3/2,1).

A:

Q: Find an equation of the tangent line to the graph of  y = g(x) at x = 6 if g(6) = −2 and g'(6) = 5.…

A:

Q: Question 2 What is the slope of the tangent line to the graph of x² - xy - 4y² + 2x + 4y = 8 at (4,…

A:

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -3 and g'(4) = 5.…

A: y=g(x) and g(4)=-3 , g'(4)=5 we have to find the tangent line of the given function y=f(x)

Q: 49. Find an equation of the tangent line to the graph of y = 8/(x² + 4) at (a) (0, 2); (b) (–2, 1).

A:

Q: Question 8 Find an equation of the tangent line to the graph of f(x) 1 at the point (2.-). - -- (A 1…

A:

Q: 1 Find an equation for the line tangent to the graph of y=2 tan at the point (3,1/8).

A:

Q: The graph of the curve + y° = 6xy is shown above. The slope of the tangent line to this curve at the…

A:

Q: There is a function f(x) with f'(2) = 0 and f(2) = 9. Then the equation of the tangent line to the…

A:

Q: Find an equation of the line tangent to the graph of f at the given point.

A: Solution:Given          f(x)=sec-1(ex);              (ln 2, π/3)To find the equation of the line…

Q: Find an equation of the tangent line to the graph of  y = g(x) at x = 4 if g(4) = −3 and g'(4) = 6.

A: Given that  y=g(x) and g(4)=-3 also g'(4)=6  We have to find the equation of tangent line . Please…

Q: 1 14. Find the equation of the tangent line to f (x) at the point (a,f (a)) when a = 5. x+5

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 2−x, (−1,…

A: Given: y=2-x  ,-1,2

Q: d the equation of the tangent line to the graph at the specified value of x. y=x√3-x², z = 1.

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

Q: Find h'(-3) if h = f o g, f(x) = 8x? – 2 and the equation of the tangent line of g at -3 is y = -3x…

A:

Q: 1. Find the equation of the tangent line at the given point. f(x) = e3x-x², (3,1)

A:

Q: 1 Find an equation of the line tangent to y at point (0, -). X-3

A: Given y=1x-3 at point 0,-13 To find equation of line tangent:

Q: ind an equation of the tangent line to the graph of the function at the given poin y = (e - 4)2. (0,…

A:

Q: Finding derivative.

A: Given,

Q: 6. Find the equation of the tangent line to f(x)= = tan (2x) at the point (n/8, 1).

A:

Q: 13) Find an equation of the tangent line to the 22 – 4 2a + 5 at the point (0, graph of y =

A:

Q: Find an equation of the tangent line to the graph of y=e^-8x at the point (5,e^-40)

A: To find an equation of the tangent line to the graph of y=e-8x at the point (5,e-40).

Q: 1. Find an equation of the tangent line to the graph of the function at the given point. f(x) = Inx*…

A: We have to find out the equation of tangent line

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

A: The solution to given questions is explained below.

Q: Question 3: Find the equation of the tangent line to the curve at the given point: f(x) = x3 – x at…

A: Given that: f(x)=x3-xat point x=-2     NOTE: As per our answering guidelines, we can only answer 1…

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

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Q: [1.5 Marks] B1: Find the equation of the tangent line to f(x) = 5+4x at a = 2.

A:

Q: Find an equation of the tangent line to the graph of y = g(x) at x = 4 if g(4) = -6 and g'(4) = 5.…

A: