Find the equation of the tangent line to the curve y = ln(4 ln x) at the point where x = e. %3D

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

A: To find the slope we find y' at x=0, y=0

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: 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 an equation of the tangent line at the point indicated. R(z) = log5(2z2 + 7), z = 3

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Q: Find the equation of the line that is tangent to the graph of the function f(x) = ln(8x + 6) at the…

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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: find the second derivative of y=ln(e^x+e^-x)

A: Given query is to find the second derivative of the expression.

Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (5, ln(25)).

A: Given:

Q: As you have seen, [In x]' = }. Find the slope of the tangent line to the y = ln x graph, at æ =96.…

A: Recall:  slope of the tangent line is          m=limx→af(x)-f(a)x-a or limh→0f(a+h)-f(a)h Also,…

Q: Find the slope of the tangent to the graph of the following function at the point (e^2,4). Give your…

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Q: The slope of the tangent line to the curve at (x,y) point is defined by (1+ k) ete .If the curve…

A: The slope of the tangent line to the curve at (x,y) is dy/dx=(1+k)e2x+e^2x.

Q: Find an equation of the tangent line to the curve at the point (1, 1). y=ln(xe^x^9)  (e is raised…

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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: The slope of the tangent line to the graph of x2 – y? = ln(xy) at the point (1, 1) is

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Q: Find the first derivative of the following functions with respect to x y = In(ln(In x))

A: To find first derivative of the given function.

Q: find the derivative of y with respect to the givenindependent variable.73.y = log2 5u…

A: we have to find the derivative of y with respect to the given independent variable. (73) y=log25u…

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

A: Here given function as y=log102xory=log 2xlog 10 Differentiate with respect to x dydx=log2xlog…

Q: xsinx sec (x)

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

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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 the slope of the tangent line to the exponential function at the point  (0, 1). y = ex/3

A: Slope of tangent line is derivative of the given function at that point.

Q: Find the tangent line to the graph y = log„(x) at x = .

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Q: Find an equation of the tangent line to the graph of y = x(x + 1) at the point (3, 3072).

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

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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: 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: 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: Find an equation of the tangent line to the graph of the function                   y=2x2 + ln x2 ,…

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Q: Find a number such that the tangent line to the graph y= log,(x) at x = a is parallel to the tangent…

A: The objective is to find the value of a

Q: Find the equation for the tangent line to the curve at the given point. f(x) = ln(6esin(x) − 5) at…

A: We need to find the equation for the tangent line to the curve at the given point.

Q: 72. y = log3(1 + 0 In 3) %3D

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Q: Find the equation of the tangent line to the graph of f(x) = 6x ln(x + 4) at x = 4. y =

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Q: Find an equation of the tangent line to the graph of  y = e−x^2 at the point (4, 1/e16).

A: Slope of tangent line is equal to value of the first derivative of y at given point.

Q: Find an equation of the tangent line to the graph of the function at the given point. y = 4 − x2 −…

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Q: find the derivative of y with respect to the givenindependent variable. y = log3 r.log9r

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

A: Given,     f(x) = ln(9(x+4)/x); (-9/2,0) Let m be the slope of required tangent line.

Q: Find the equations of the tangent line and the normal line to the graph of the equation at the…

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Q: Find the equation of the tangent line to the function f (x) = e*²-1 ln(x + 1) when x= 0.

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Q: Find an equation of the tangent line to the graph of  y = e−x2  at the point (5, 1/e power of 25)

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Q: Determine the equation of the tangent line to •x³ +ln x the graph of f(x) at x = 1. [² = √/3 + 5t5dt

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Q: To three decimal places, the slope of the tangent to the curve f (x) = log, x , at x = 2 is:

A: First we have to find the differential equation for slope of this function.

Q: Find the higher-order derivative. (4 log 2(x – 5)) dx2

A: Given, d2dx24 log2x-5

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

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