8. Suppose that the tangent line to the graph of ƒ(x) = r0) at r = 1 is equal to the tangent line to %3D the graph of g(r) = -4- sin(1 – e*) at r = 0. What is the value of the positive constant b, and what is the equation of the tangent line? %3!

Q: Find an equation of the tangent line to the graph of y = ln (x^2) at the point (4, ln (16))

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Q: Determine the slope of the tangent line to the graph of the equation ey = [cosh x] tan−1 (2x) at x =…

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Q: 3. Find an equation of the tangent line to the graph of y = log,x at the point ( 32,5).

A: We need to find the equation of the tangent line to the graph of y=log2x at the point (32,5) . Using…

Q: ,)= 2 . Determine the equation of the tangent to the curve where x=0. Oy=-1+x Oy=-x+1 Oy=1 O None of…

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Q: 7. If the tangent line to y = f(x) at (-1,3) passes through the point (2,1), find fl-1) and f'(-1).

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Q: what is the slope of the tangent line to the graph of the equation ey = [cosh x] tan−1 (2^x) at x =…

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Q: Consider the graph of the function f(x) = ln(1 + x²) for x > 0. 1. Find f'(x). 2. At which value of…

A: Ta which value of x the slope of tangent line the greatest.

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

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Q: Find the equations of the tangent lines to the graph of y = ln  x  at x = 1 and x = -1.

A: To find equation of tangent lines at x=1 and x=-1f(x)=lnx

Q: 4. Find the equation of the tangent line to the graph of g(x) = v2-x at x =-7 %3D

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Q: /4 Find an equation of the tangent line to the curve of y = sin2 x tan x at x 1

A: Consider the given curve.

Q: 2. Determine the equation of the line perpendicular to the tangent line to the function f(x) = e' at…

A: We will find the equation of the line.

Q: 4. Find the equation of the tangent line to the function y= In(x* -2) when x=3.

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Q: Find an equation of the tangent line to the graph of y = In(x2) at the point (3, In(9)). %3D *+2 ln…

A: y-y1=dydxx-x1

Q: 1. Explain two different ways to solve for the derivative of s(0) = 200sin cose

A: The given function is : s(θ)=200sinθcosθ We need to find the derivative in two ways.

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Use the basic definition of Cosh to find the derivative of the function, Coshx=ex+e-x2. Find the…

Q: 4. Find an equation of the tangent line to the graph of f(x) = ln(x ^2 + 4) at the point (2, ln(8))

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Q: Suppose that the tangent line to the graph of f(x) = a") at a = 1 is equal to the tangent line to…

A: First of all, we find the equation of a tangent line to the curve: g(x)=-4-sin(1-e5x) at x=0, Note…

Q: 4. Find the equation of the tangent line to g(x) 8 at x = 3 |x²–1

A: The function is given by gx = 8x2-13 To evaluate: The equation of the tangent line to the graph of…

Q: If the instantaneous rate of change of g(x) at (−1, −3) is 1/2, write the equation of the line…

A: Slope of tangent line is ½. So the equation is of the form:

Q: 4. Find all points on the curve y = log (x³ – x) at which the tangent line is horizontal.

A: We will find all the points on the curve at which the tangent line is horizontal using calculus as…

Q: 5. Find an equation of the tangent line to the graph of f(x) = In (2x + 1) – e* at the point where x…

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Q: 6) Find an equation of the tangent line to the graph of f (x) = 4 ln z at the point (1, 0).

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = sinh(25 –…

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Q: 3. Given the function f(x)= sin(x^2−1)on the interval [−1,1]. Show that your can find a point on the…

A: (3) Let f(x) = sin(x2 -1) on the interval [-1, 1] The tangent line has a slope of the secant line if…

Q: 5. Find the slope of the tangent line to the graph of r = 2-2 cos 0 when 0

A: Given equation of the curve - r = 2-2cosθSlope of the tangent to the curve is given by drdθ,drdθ =…

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

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Q: 7. Determine the equation of the tangent to the function E-2 f(x)=- at x= 1.

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Q: 12. Find an equation of the tangent line to the graph of y=1+4 tan x at x=0.

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Q: Find the equation of the line tangent to the graph of y = (x2 - x) ln (8x) at x = 2

A: Topic = Derivative

Q: If y = cos x, then the nth derivative of y with respect to x is equal to itself if n is a natural…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: Find the equation of the tangent line to the graph of f(x) = 4^(x/ln2) at the point where x is ln16.

A: We find dy/dx to find the slope at x.

Q: 3 PROBLEM 2:f(x) at (-1,3) x+2

A: topic - slope of a tangent line

Q: x3+6x-2 dx x4+6x2

A:

Q: The equation of the tangent line to the graph of e+√√2 cos x-2=0 at x = 45 is

A: Given ey+2cosx-2=0 at x=45To find equation of tangent line.

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

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Q: 4. If f (2) = 3 and f'(2) = 5, find an equation of the tangent line at the point where x=2.

A: We have to find the equation of tangent.

Q: 1) Find the equation of the tangent line and normal line to the graph of the function y=x√√x-1 at…

A: As we know that; The expression for the equation of the tangent line is: y-y0=mx-x0 Where m is the…

Q: 4. Find the equation for the tangent line to the graph of y = VT at a = 2. Remember to keep every…

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

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Q: 9. Suppose that the tangent line to the graph of f(x) = xb) at x=1 is equal to the tangent line to…

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Q: he given problem. 1. For y-ln2x, determine the equation of a tangent line parallel to 2x- 3y+1-0.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: 1. Find the equation of the tangent line to the graph of In(x + y) = 4y² + x*y at the point (2, -1).…

A: Solve the following

Q: 1. Find the equation of the tangent line to y e* at x = 0. = - x²+1

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Q: 2. Find the equation of the tangent line to the graph of 3x cos y = 1 + x² + /2y+ 1 at P(1,0).

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Q: 7) Find the equation of the tangent line to the graph of f(x) = –sin(x) +3 at x = 4

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Q: Find the equation of the line tangent to the graph ofy = 3 sin x + cos 2x at x = π/2

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Q: Find the slope of the tangent to the curve y=(cos 3x)/( 2-ln(2x+1) ) at x=0

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

A: