A) find the derivatives for the following: 1) y = In(In(sin¯'(e?r))) – 5-Inx 2) Y=sech-1(log, 93*) + Vcosh(In^x) B) Find an equation of the tangent line to the curve at the given point y = (1+ Vã)³ at x=1 ?

Q: 4. Determine the equation of the tangent line at the indicated point a) y = cos x at x = 7 b) y =…

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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: 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: 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 an equation of the tangent line to the curve at the given point. y = 5e* cos(x), (0, 5) y =

A: Given equation - y = 5excosx           .............................(1)Let the equation of the…

Q: 6. Find dy/dx by implicit differentiation for tan-'(²y) = sin(x²) + 3ry?.

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Q: 2. Find the equation of the tangent line to the curve y = In(x'-7) at (2,0).

A: Given :          y=lnx3-7

Q: 2. Use implicit differentiation to find an equation of the tangent line to the curve z2+2ry-y²+x = 2…

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Q: 5. Write the equation of the tangent line to the curve of y = e³x + cos(-x) at the point (0,2).

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Q: find the derivative of y with respect to the appropriatevariable. y = (1 - θ) tanh-1 θ

A: Consider the following equation:

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

A: Solve the following

Q: Find the indicated nth derivative of the following: 1 7. 2nd derivative of y = xArcsinx + v1 – x²…

A: Find derivative using product rule and composition of functions rule

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 an equation of the tangent line to the graph of the function                    y = sinh(1 −…

A: Given curve:

Q: Find the slope of the line tangent to the curve x + sin(y-π) = 2x3 + ey at thr point (-1,0).

A: Find dy/dx

Q: 1 of 1 че le y=sı sin find derivative eq uatlon of tangent Iine at t= Ò

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Q: 1. Find the derivative of the curve given by the equation: 2(x - y) = 3+ siny

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: find the derivative of y with respect to the appropriatevariable. y = (sech θ)(1 - ln sechθ)

A: We have to take derivative with respect to θ. dydθ=sinh θ ddθ1-ln sech θ+1-ln sech θddθsinh θ

Q: 2. Use implicit differentiation to find the derivative of y with respect to x for the following: xe…

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Q: Find an equation of the tangent line to the graph of the function                    y = (cosh x −…

A: We first find the derivative at (0,1) to find the slope

Q: 5) Find an equation of the tangent line to the curve y = sin²(x) cos(x) at the point (,0).

A: Slope of tangent,m  = dy/dx Equation of tangent to curve at point (x,y) y -y1 = m (x -x1 )

Q: 4. Use implicit differentiation to find an equation for the tangent line to the graph of sin(x +y) =…

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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 ln(2x-y+1) + cos(xy-2)=1 at the point (1,2)

A: Given:

Q: Find an equation of the tangent line to the curve at the given point. y = 3ex cos x, (0, 3)

A: To find: The equation of the tangent line to the curve  at the given point0,3 Given information: The…

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: Find the derivative of y with respect to x. 1/9x²-1 + sec -13x, x> y= cot %3D

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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: Find an equation of the tangent line to the curve at the given point. 3 y = sin(x) + cos(x)' Р%3D…

A: Given,  Equation of line: y = 3sin x + cos x We need to determine the equation of tangent at point…

Q: find the derivative of y with respect to the appropriatevariable. y = (θ2 + 2θ) tanh-1 (θ + 1)

A: The given function is y=θ2+2θ tanh-1θ+1. Obtain the derivative as follows.

Q: y = In(x² + 4) - x tan-1 (e) y = arctan(arcsin vx), (y = sech (tanh x)

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: (6) Find the tangent line to the graph of +y° = 6xy at the point (3, 3) Use implicit…

A: Equation of tangent line with slope m and at point (x1,y1)  (y-y1) = m(x-x1).

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: Give the equation of the tangent line to the graph of 3sin y − ln(e sech x) = tan−1(x2y) + x/3 at…

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Q: find the derivative of y with respect to the appropriatevariable. y = sec-1 (2s + 1)

A: The given function is y=sec-12s+1.

Q: Find the slope of the equation of the tangent line to the curve at (0,1). 2x y = e2* cos IX

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Q: 2) Find the tangent line to y2 = x at the point (4, –2).

A: Given: y2=x…

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 an equation of the tangent line to the curve at the given point. y = 2ex cos(x),    (0, 2)

A: To find the equation of tangent to the curve given:

Q: Find an equation of the tangent line to the curve at the given point. y = 7e* cos(x), (0,7) y =

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

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Q: Find an equation of the tangent line to the curve at the given point. y = 5ex cos(x), (0, 5)

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Q: find the derivative of y with respect to the appropriatevariable. y = sinh-1 (tan x)

A: The given function is: y = sinh-1 (tan x) The derivative of y=sinh-1θ is: ddθsinh-1θ=11+θ2.

Q: Find an equation of the tangent line to the curve at the given point. y = cos (x² – 2x + 1), (1, 1).

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Q: Find an equation of the tangent line to the graph of y = ln(x2) at the point (3, ln(9)). y=_____

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Q: 3. Find the siope of the tangent line that crosses through the point (3, 7) along the 2 curve f(x)=x…

A: Given :f(x)=x2-x+1

Q: Find the equation of the tangent line to the graph f (x) = x^3 ln x at the point (1, 0)

A: Tangent line equation.

Q: 2- Find the derivative of y with respect to the Exercises 1-3. y = 6sinh ; 1- = - sinh (2x + 1) y =…

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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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