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

Q: Find the derivative. Simplify where possible. hx) = (1 - cosh x) /( 1 + cosh x)

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Q: Find the derivative. Simplify where possible. y  = Cosh-1 √x

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Q: 3.

A: Indefinite Integration

Q: Va2 -x2 y=Arcsin + 6. X

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Q: Find the derivative. Simplify where possible  y = cosh (ln x)

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Q: find the derivative of the function by the Logarithmic differentiation method.   y=(cos(x))ln(x)

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Q: find the derivative of the function  y'=ln(squared root of x^2-4) and  y=ln IsinxI

A: The given function is y=lnx2-4. Obtain the derivative as follows.…

Q: Find the derivative y=arctan(square root 1+x/1-x)

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Q: Use negative differential to obtain an equation of tangent curves at a given point.

A: Solve the following

Q: 5) Find the derivative using logarithmic differentiation: y = Xcanx

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: Compute for the derivative of the function using logarithmic differentiation g(y) =…

A: Logarithmic differentiation: - The use of logarithms to derive the derivatives of some difficult…

Q: 23. The slope of the tangent line indicates the rate of change of the function, also called the 24.…

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

Q: Find the derivative. Simplify where possible. f(x) =ln  ( cosh x )

A: fx=lncoshx

Q: tion of the tangent line to f(x) = 4 %3D

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Q: find an equation of the tangent line at the point indicated. y = log2(1 + 4x−1), x = 4

A: We have to find an equation of the tangent line at the point indicated. the given function is…

Q: Estimate the instantaneous rate of change at the point x=2 for f(x)=ln(x) ROC =

A: the fiven function is f(x)=ln(x)

Q: 3 + 2x +5

A: GIVENy=x3+2x+5   and x=2

Q: In(tanhx)

A: As we know that; The chain rule: fgx'=f'gx·g'x And ddxtanhx=sech2x Given: fx=lntanhx

Q: Find the first derivative y= etanx

A: We have to find first derivative of    y=etanx   First derivative is dydx

Q: calculate the derivative. y = ln(coth x)

A: Given: y = ln cot hx To find: The derivative of the function.

Q: Find the slope of the tangent line to the curve x3 + y3 = 4xy at the point (2, 2). Use implicit…

A: According to question given that  We have to calculate the slope of the tangent line to the curve…

Q: Brd Derivative OF y=-Jin3x

A:

Q: State the derivative rule for the exponential function ƒ(x) = bx.How does it differ from the…

A: Derivative rule for bx. The derivative of fx=bx is given by f'x=bx lnb.

Q: calculate the derivative y = ecosh−1 x

A: Given The chain rule of derivative is given by: The derivative of the inverse hyperbolic function…

Q: Find the derivative of the function y = cosh−1(3x)

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Q: what is the derivative of f(x)=ln(tanhx)

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Q: Find the first and second derivative of f(x) = ln(x)/rootX

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Q: Find the equation of the line tangent to the graph of y = 6 ln(x) at x = 3. Tangent Line: y =

A: We have to find the slope of tangent at first.

Q: Find the derivative. y =(ln(ln x))3

A:

Q: wwww To find the slope of the tangent line to y = ln(x²) at the point (1,0) we must find the…

A: Recall: Slope of the tangent line

Q: Find the derivative. Simplify where possible. |(a) y = ln(coshx)

A: Find the derivatives

Q: Find the derivative of the function f(x) = (3+arctanx)^(ln(x^2 +1))

A: Apply exponent rule:

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

A:

Q: Find the derivative of  f (x) = ln( ln (ln 3x))

A: To find the derivative of f(x) = ln( ln (ln 3x)), differentiate f(x) with respect to x.

Q: 4. y=ln(4x' +5)

A:

Q: Find the nth order derivative of the cube root y=3√x.

A: We first find the first three derivatives using the power rule

Q: Find the slope of the tangent line to the curve y-x+5 0 at the points (6, 1) and (6,-1) in two ways:…

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Q: What is the derivative of the function  x^8(ln(x))?

A: To find the derivative of the function x8(ln(x)) as follows.Redefine the function as follows.

Q: Find the derivative of the function. y=arctan(sqrt 1-x/1+x) Also, Would I be able to use…

A: Given :  y = arctan1-x1+x

Q: calculate the derivative y = sinh(ln x)

A:

Q: Find the equation of the tangent line to the graph of f(x) = In(-x) at x = x0 = -e'. =-e?. Equation:

A: As we know that the equation of the tangent line is: y-y1=mx-x1 Where 'm' is the slope. Given:…

Q: Find and sketch an exponential equation of the form y = Cekx that passes through the points (0, 8)…

A: Given an exponential equation of the form y=Cekx that passes through the points (0,8) and (3,4). To…

Q: Find the derivative. Simplify where possible. g(x) =   cosh (   ln x )

A: Given: gx=coshlnx

Q: 2. Calculate the derivative of y = arccos(e arcsin(x2)

A: Let u=arcacos(e^x) and v=arcsin(x^2), then y=u/v

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: Find the equation of the tangent line to the curve y = log(x2-3x+1) at the point (3,0)

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Q: Find the derivative. Simplify where possible. y = x tanh  -1 x +ln ( sqrt 1 - x 2 )

A: Given, y=xartanh⁡(x)+ln⁡(1−x2)can be rewritten asy=ln⁡(1−x2)2+xartanh⁡(x)