1. Find an equation of the tangent line to the graph of the function at the given point. f\xl=In x"|1,0)|

Q: Find an equation of the tangent line to the graph of f at the given point   f(x)=(2x+1)/(x+2),…

A: Given  fx=2x+1x+2 To find tangent differentiate the function f'x=x+22-2x+1.1x+22     =2x+4-2x-1x+22…

Q: 1. Find the slope of the tangent line to the graph of f at x = 4, given that f(x) = -x2 + 4Vx.

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: find the equation of the tangent line for the given f(x) at the given point f(x)=(1+1/x)4, (1,16)

A: Consider the given function:

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: 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: Find an equation of the tangent line to the graph of the function                       y = xcosh x…

A: The given function is  Taking log on both sides

Q: 5. Find the equation of the tangent line to the graph of the function f(r) = 5- z at the point where…

A:

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

A:

Q: Find an equation of the tangent line to the graph of f(x)

A: Given function ,         fx=3-Yxx+5at -1,1To find the slope , we differenntiate the function fx…

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: 60. Find an equation of the tangent line to the graph of f(x) a) at (1, 1); b) at (3, 5); c) at…

A:

Q: 4. Find the value(s) of x at which the graph of the function g(x)=x'e has a horizontal tangent line.

A:

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: 34. Find an equation of the line tangent to the graph of f(x) = (2x – 1)(x + 4) at (1, 5).

A: The objective of the question is find the equation of tangent at the point (1,5).

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

A: Slope at x=a is f'(a) Point slope formy-f(a)= f'(a)(x-a)

Q: 1) Find the tangent slope to the curve f_((x))=1/ (2x-1) at x=1

A: Given : fx = 12x-1

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: 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: Find an equation of the tangent line to the graph of the function at the given point. f(x) = el-x,…

A:

Q: 7) Find the tangent line to the graph of f (x) = 3 – 4e * at x =0.

A:

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

A: We have given function  fx=e-xlnx Then, f'x=-e-xlnx+e-x1x=-e-xlnx+e-xx Therefore,…

Q: The slope of the tangent line to the graph of f(x)%3D at a =-1 is: x2 - Select one: 1. a. O b. O c.0

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 the function at the given point. 1 f(z) = at…

A: Given function :                   f(x)=1x2-2x+9   At the point :  (2, 13)   To determine:…

Q: 2n 5) h(x) = tanx, x = 3

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: Find an equation of the tangent line to the graph of the function at the given point. f(x) =  3x…

A: Point of tangency = (2, 8)m = slope of the tangent line = f'(x) at the point of tangency =…

Q: Find an equation of the tangent line to the graph of the given function at the specified point. x² –…

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

Q: Find the slope of the tangent line to the graph of the function at the given point. g(x) = 3/2 x +…

A: Here the given function

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

A:

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

A:

Q: Find the slope of the tangent line to the graph of the function at the given point. y = In x y 10…

A:

Q: Find an equation of the tangent line to the graph of the function f(x) = e6x, at the given point (0,…

A:

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

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Q: Find the equation of the tangent line to the graph of f(x) at the given point. f(x) = /28x +21 at…

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Q: find the equation of the tangent line to the graph of the following function at the given point.…

A:

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

A: Consider the function  f(x)=x2−1x2+x+1 Point (1,0)

Q: Find an equation of the tangent line to the graph of y = g(x) at x = –1 if g(-1) = 5 and g' (-1) =…

A: Concept: The Equation of tangent to the graph y = g(x) at point (x1,y1) is given by: (y -y1) =…

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

A:

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: 12. Find the equation of the tangent line to the given function at the point (0,1). f(x) = In(3xe¬x)

A:

Q: Find an equation of the tangent line to the graph of the function at the given point. y = x2ex −…

A:

Q: Find an equation of the tangent line to the graph of the function at the given p h(x) = (x2 – 2)(x –…

A: In this question we will use basic of calculus I.e application of differentiation. We wilo find…

Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = e-X…

A: Given: f(x)=e-xln(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 of the tangent line to the graph of the given function at the specified point. x2 -…

A: Our Aim is to find an equation of the tangent line to the graph of the given function…

Q: Find an equation of the tangent line to the graph of the function at the given point, y = e3x−x2,…

A: Given equation: y=e3x-x2 The equation of the tangent passing through the point x1,y1 on the curve…

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

A: