1 as follows: Let f(x) 1 and find Use linear approximation, i.e. the tangent line, to approximate 0.252 1 the equation of the tangent line to f(x) at a "nice" point near 0.252. Then use this to approximate 0.252 0.252

Q: Find an equation of the tangent line to the graph of y = f(x) at the given x. 14. f(x) = 1 at x = 4

A: Rtyu

Q: 16. Find the equation of the tangent line to the curve y = e* at the point (a, f(a)) when a = In 3.

A: I am going to solve the given problem by using some simple algebra to get the required result.

Q: 1. Find the slope of the tangent line for the following function at indicated point: x² – 1 S(x) =…

A: Given function: fx=x2-1x+1 Simplifying the function: fx=x2-1x+1       =x2-12x+1Using: a2-b2=a-ba+b…

Q: The tangent line to y=f(x) at (2/(2) is line through given point whose slope is equal to (a) f (a)…

A:

Q: Let f(x) = x* – 2x + 14. Then the equation of the tangent line to the graph of f(x) at the point (1,…

A:

Q: 1 0.204 as follows: Let f(x) 1 x Use linear approximation, i.e. the tangent line, to approximate the…

A:

Q: Find a number a such that the tangent line to the graph v= 3x at x = a is parallel to the tangent…

A:

Q: Find the equation of the tangent line to the graph of f(x) = In x at xo = e 8.

A:

Q: 2. Find the equation of the tangent line to the graph of the function at the indicated point. (a)…

A: Explanation of the answer is as follows

Q: 4. Determine the point(s) at which the graph of f (x) = has a horizontal tangent. Simplify as much…

A:

Q: The tangent line to y=f(x) at (−4,−9) passes through the point (0,−4). Compute the following. a.)…

A: We have to find: a.) f-4b.) f'-4 when tangent line to the curve y=fx at the point -4, -9 passing…

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: If f '(1)=4, f(1)=2, and g(x)= f(x)·tan¬(x), what is the slope of the tangent line to the curve…

A: We can solve the problem by obtaining the tangent by doing derivative of the function given.

Q: 1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(æ) 0.202 and…

A:

Q: 2. Calculate the slope of the tangent to the given function at the given point or value of x. 3 %3D…

A:

Q: The tangent line to y = f(x) at (0, –8) passes through the point (7, 4). Compute the following. a.)…

A: Given: y = f(x) at (0,-8) Passes Point ( 7,4)

Q: Suppose you are studying the graph of a population of a particular species and you determine that…

A:

Q: Find a > 0 such that the tangent line to the graph of f (x) = x2e−x at x = a passes through the…

A: The tangent to curve at a point is a line that touches the curve at that point and with a slope…

Q: Compute f 1 (x) and find an equation of the tangent line to the graph at x = a. f (x) = x4 , a = 2

A: Consider the given function fx=x4  When x=2, then y=fx=24=16 Hence, point on the curve is 2, 16   To…

Q: 6. The tangent to the function f(x) = ke2x at x = has slope 2e. Find the value of k.

A:

Q: Find an equation of the tangent line for the following functions at the given points. a. y = x* -…

A:

Q: 15. Find the equation of the tangent line to the curve at point (0, In 2). y = In(e' + e4) O 2y + 5x…

A:

Q: 10. Find the slope of the tangent line for the following function at indicated point: 1 f(t) at t =…

A:

Q: Consider the function f(x) = x ² + 3. Part 1: Compute the slope of the the tangent line to y = x2 +…

A:

Q: Use linear approximation, i.e. the tangent line, to approximate 2.8' as follows: Let f(x) = x". The…

A:

Q: 1. Consider the following function: y = f(x) = In (2r² + 6x + 5), for x > 0 (a) Calculate f'(0),…

A: Using Derivatives & equation of tangent line.

Q: Previous 1 as follows: Let f(x) 1 and find the equation of Use linear approximation, i.e. the…

A:

Q: Find the equation of the tangent line to the following curve at the given point y = cosh(x) + e3when…

A: we have to find equation of the tangent

Q: If y = f(x) has slope  −4  at x = 3, and y value 5 at x = 3, a) write the formula for the tangent…

A: (a) To write: The formula for the tangent line to f(x) at x=3. Given information:  If y = f(x) has…

Q: 1 Use linear approximation, i.e. the tangent line, to approximate as follows: Let f(x)= 0.254 the…

A:

Q: What is the equation of the tangent line to the graph of f'(x) at x = 4, if f(x) = vx? O y = - + O y…

A: Topic:- application of derivatives and tangent equation

Q: Let f'(x) = e and g(x) = f(/x). Let L denote the slope of the tangent line to the graph 2/3L of the…

A:

Q: 7. Apply the appropriate rule to determine the slope of the tangent line to the curve graph given by…

A:

Q: Find the equation of the tangent line to the graph of the given function at the given value of x. 3…

A:

Q: Suppose h(x) = /f(x) and the equation of the tangent line to f(x) at x = 1 is y = 4+ 4(x – 1).

A: WE area asked to find h'(1)

Q: 1. The slope of the tangent line for the function f (x) = In x at x = 1 is: (A) (B) 1 (C) 0 (D) None…

A:

Q: 3) Let x = t2 - 1 , and y = e2 . Find the tangent line to the point (0, 1) .

A:

Q: 1. Find the equation of the tangent line to the following curves at a given point. . y = Vx +3 at x…

A: “Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: 1. Consider the following function: y = f(x) = ln (2x² + 6x + 5) , for x > 0 (a) Calculate f'(0),…

A:

Q: Find the slope of the tangent line to the graph of the function at the given point.    f(t) = 3t −t2…

A:

Q: 2. Find the equation of the tangent line to the graph of f(x) = 3x?e-1 - 1, at r = 1.

A:

Q: Find the equation of the tangent line to th graph of f(x) = 3 – |2 – a| at a = 1. Select one: Y = -x…

A: Given:  f(x)  =  3 - |2 -x|To Find :  Equation of tangent at x =1Now , first of all we define f(x)…

Q: Find an equation of the tangent line to the graph of f(x) = 2 + e1−x at the point (1, 3).

A: We have to find equation of tangent line to the graph of function fx=2+e1-x at the point 1, 3. We…

Q: 13. Given the function f(x) = 4 + x? %3D Find the 8x + 2 equation of the tangent line to the curve 1…

A:

Q: 22. If the tangent line to y = f(x) at (4, 3) passes through the point (0, 2), find f(4) and f'(4).…

A: #22 f(4) ? f'(4)?

Q: Find the slope of the tangent line to the graph of the function at the given point. y = In x3 y 5E 4…

A:

Q: 1 as follows: Let f(x): 1 and find Use linear approximation, i.e. the tangent line, to approximate…

A: A nice point near 0.203 is 0.2  f(x)=1xf'(x)=-1x2At x=0.2f(0.2)=10.2=5f'(0.2)=-10.22=-25 This means…

Q: 1. Find the equation of the tangent line to the graph of f(x) = x?e-* at x = 1.

A: