y f(x) = x?ex a

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: Find an equation of the tangent line to the graph of the function at the given point. y = 7 Ine* +…

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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: Find an equation of the tangent line to the curve at the given point. y = ln(x2 − 6x + 1),    (6,…

A: Equation of the line to the curve at the given point is shown below.

Q: Find the equation for the tangent line to the curve  y = f(x)  at the given x-value. f(x) = x ln(x…

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Q: y = 7x + e5x ; (0, 1) %3D

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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: 2. Find a point on the curve y = e 3x , at which the tangent line passes through the origin.

A: Solution: The objective is to find the point on the curve y=e3x at which the tangent line passes…

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. Determine an equation for the tangent line to g(x) = 3 csc(x) – 2 at a = T/4.

A: Solution :-

Q: The slope of the tangent line to the curve tanxy) + y= 2 at x=0 is O a 2 O b.-2 Oc-1 O d. 1

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Q: Find the equation of the tangent line and the normal line to the graph of the function b) f(x) = x…

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Q: Find an equation of the tangent line to the graph of the function at the given point. y = ln(x7/2);…

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

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Q: Find f(x) if f(2) = 3 and the tangent line at x has slope (x - 1)e** - 2x. f(x) = 1)et?

A: We have to find the function

Q: The equation of the tangent line to the graph of f(x)=ln|x at x = -2 is v=²(x+2)+n2 (a) TRUE (b)…

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

A: we have to find the equation of the tangent line of the given function at the point (1,0)…

Q: 3x+ Find an equation of tangent line to the curve: f(x) = EGL

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

Q: Find an equation of the tangent line to the curve at thegiven point.   y = e2x  Cosπ   x, (0. 1)

A: Given: y=e2xcosπx at 0,1 for finding equation of tangent at given we need slope m of tangent at that…

Q: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). Verify your…

A: Use the graph to estimate the slope of the tangent line to y = xn at the point (1, 1). and to verify…

Q: f (x) = x² + Vx at the point x = 1

A: Consider the given: fx=x2+xf1=12+1f1=1+1f1=2Find the derivative:f'x=2x+12xAt…

Q: (b) Find a general expression for dy - (x), the (implicit) derivative of y with respect to x, as a…

A: given rθ=2+2cos2θ   for θ∈[0,2π) (b) find a general expression for dydx let  x=rcosθy=rsinθ…

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 to the curve  y= x ln x at the point (e ,e )

A: Given: y=xlnx, e,e for finding equation of tangent, we need slopem of tangent at given pointe,e we…

Q: Determine the slope of the tangent line to the curve y = In(x²) at x = e 2 1 e4 Option 2 Option 3 1

A: differentiate it with respect to x at given point to get the slope of line.

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

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Q: If fx)=- has a tangent equation y/3-x+2 at x = 1, then the slope of the tangent line of f ( x) at…

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Q: = Determine the equation of the tangent line to the graph of f(x) = I x+ln x cosh (√2t - 1) dt at x…

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Q: Find an equation of the tangent line to the curve at the  given point. y = x2 ln x, (1, 0)

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Q: 2 Find an equation of the tangent line to the curve y at the point(0,1). (1+e¬x)

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Q: A line with slope m passes through the origin and is tangent to the graph of y = ln x. What is the…

A: Let the point of contact is (h,ln(h)) We find the slope of the tangent using dy/dx

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: Find an equation of the tangent line to the graph of y=e^-x^2 at the point (2,1/e^4)

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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: Find an equation of the tangent line to the graph of f(x) = e×/2 In(x) at its inflection point.…

A: The point of inflection is the point where the second order derivative of the function becomes zero.…

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: The equation of the tangent line of f(x) 3 e* at x = 0 is %3D y

A: We have to find the equation of the tangent line of the given function at the given point   The…

Q: Determine the equation of the tangent line to the function g(x) = (2ex)/x at the point, (2, e2).

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Q: Consider the function Y3x2-6×+ス a. Find the slope of the tangent lihe to the curve at x=2 be Find…

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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: 9) Find the equation of the tangent line to: y = (1+x) e*when x=0

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Q: Does the graph of the function y = tan x - x have any horizontal tangents in the interval 0 sx <2n?…

A: We get the slope y' of the tangent to the function y=tan x-x by differentiating it with respect to…

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

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Q: Find an equation of the tangent line to y = f(x) arctan(x) at = V3. x =

A: We have to find equation of tangent line

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: The equation of the tangent line for the graph of Fx)= | Ln(P+4)dt at x=2 is F(x)=

A: