Find the length of the curve y = ln(sec(x)), where 0 is less than or equal to x which is less than or equal to (pi/4).

Q: Find the exact length of the curve. y = ln(Sec x),   0≤ x ≤ π/4

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Q: Find the derivative dydx for the function x=sin2t, y=−cost at the point t=π6.

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Q: Determine the first derivative of the ff. function dz y = e? sin x + In x (arcsin z) with dx 4

A: Determine the first derivative of the function                   y=ez sin x + ln x (arcsin z)  With…

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: 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 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: Find dy/dx by implicit differentiation. 52) x3 + y3 = 5

A: Given implicit function : x3+y3=5

Q: Find an equation of the tangent line to the curve at the given point. y = sin(sin(x)),  (4π, 0)

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

A: given function is                                                    y=sinsinx tangent at point 2π,…

Q: Find the length of the curve y=ln(sec(x)), 0≤x≤π/4.

A: please see the explanation below

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

A: Given:

Q: Find the exact length of the curve  y = ln(sec(x)), 0 is less than/equal to x is less than/equal to…

A:

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 the length of the curve y =x2/8 − ln(x) on the interval [1, 2].

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Q: Find the length of the curve defined by y = 3 ln from x = 8 to x = 9.

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

A:

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: 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 the equation of tangent line to the curve y=ln(2x+3) at x=2

A: y=ln2x+3 at x=2. Differentiating with respect to x, we get dydx=12x+3·d2x+3dx=12x+3·21+0=22x+3 Now…

Q: Find the length of the curve f(x) = ln(sin x), 0 ≤x ≤π/6.

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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 equation of the tangent line to y=cos (x)-sin(x)        at x=pi

A: The objective is to find the equation of the tangent line to y=cos (x)-sin(x)        at x=pi.

Q: Find the derivative of y = arccos 4x with respect to x.

A: Given that: y=arccos4x

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. y = sin(sin(x)), (T, 0)

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Q: Find an equation of the tangent line to the curve at the given point. y = 6x + 4 cos(x), P = (0, 4)…

A: the equation of the tangent line at (x0 , y0) is y−y0 = m (x-x0)

Q: Find the equation of the tangent line to the curve tan(x – 1+ 2y) = e + 3x – 4 at the - point (1,0).

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: 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: 6. Find an equation of the tangent line to y = f(x) : = tan¬(2x) at x = 7

A: Given,

Q: 9. Find the equation of the curve whose y" e*. = - cos x + 6x + 4 with horizontal tangent at the…

A:

Q: on the graph of y = ln 2x such that the tangent line passes through the Find the point origin.

A: Given equation of curve is y=ln2x Let the desired point on the graph be (a, ln2a). Firstly, we will…

Q: Find an equation of the tangent line to the curve at the given point. y = sin(21n x), (1,0)

A:

Q: Find the differential for y = tan 2x2

A: Find the differential equation for given equation We need to take derivative for tan using the…

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 equation of the tangent line to the curve at point (0, ln 2).   y=ln(e^x+e^4x)

A: the equation of the given curve is: y=lnex+e4x we have to find the equation of the tangent line to…

Q: (b) Find the equation of tangent and normal to the curve f (x) |2 – sin(2x) at x 4

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Q: At what point will the tangent line to the curve y = ln x + 2 tan−1 x be horizontal?

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Q: Find a formula for the tangent line for y = sin(x) cos(x) at x = 4 -

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Q: 2 Find the equation of the tangent to the curve y = sin x at the point where x = . 3

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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: Find the values of x between 0 and 2π where the tangent line to the graph of y = sin x cos x is…

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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: Find the values of x between 0 and π where the tangent line to the graph of y=sin⁡(x)cos⁡(x) is…

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Q: Find the slope of the line tangent to the graph of y = sin-1 x at x = 0.

A: y=sin-1(x)