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

Q: Find an equation of the tangent line to the following curve at the given point. y = eX cos TX, (0,…

A: Given,          y=e9xcosπx ; 0,1

Q: Find the equation to the tangent line of the curve y =x' +e' at x=0

A: We need to find the equation to the tangent line of the curve y=x3+ex at x=0. When x=0, y=1. Now,…

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 an equation of the line tangent to the curve y = (sin x)/1 + cos x at the point ( π/2 , 1)

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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 curve at the given point. y = sin(sin(x)), (2x, 0)

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

Q: Find the derivative of y with respect to s. y= sec 1(7s° + 4)

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Q: Find the equation of the tangent line to the curve y = 1+e¯* at the point (0,2)

A: A function is a relation which maps each value in its domain to exactly one value in its range.…

Q: 1) Find the slope of the line tangent to the curve y = sin x at the point where x=r/3

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Q: B) Find an equation of the tangent line to the curve at the given point y = (1+ Vx)³ at x =1 ?

A: Given curve is, y=(1+x3 )3 at x=1.  The objective is to find the equation of the tangent.     For…

Q: Find an equation of the tangent line at the origin to the curve 1+ sin(x + y) = xy + cos y.

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

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

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Q: Find an equation of the tangent line to the curve at the following point:  y=4/1+e^-x, (0,2) y=?

A: We first find the slope of the tangent using the first derivative y=41+e-xy=4(1+e-x)-1…

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: Find an equation of the tangent line to the given curve at the specified point. 5x y = X + 3' (2, 2)…

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Q: An equation of the tangent line to the curve y = sin(x) at x = Зп /4 is %3D y = - (х — Зп /4) .

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

Q: Find the derivative of y with respect to t. y= sin(6t)

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Q: (B): Find the tangent equation to the curve y = sin² x at point x = T-3 π .

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Q: Find the slope of the line tangent to the curve at the given point. y = 3 cos x; x = 3 3/2 2

A: 1) Find the first derivative of f(x) 2) Plug x value of the indicated point into f'(x) to find the…

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: Find an equation of the line tangent to the curve y = sin x atx = 0.

A: Solution -  Given equation -  y=sinx At x=0,  y=sin(0)=0 We have - x0, y0 = 0, 0   Equation for the…

Q: Find the equation of the tangent line of the curve y = sin x + cos x at the point A ( π ,√2 ) .…

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Q: (B): Find the tangent equation to the curve y = sin² x at point x F.

A: We can find the tangent equation at the given point as below.

Q: Find an equation of the tangent line to the curve at the point (0, 1) y = e2x + sin 3x

A: Here is the solution of the given problem.

Q: Find an equation of the tangent line at the given point x/(x+1) + y/(y+1) = 1 at (1,1)

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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 = (1 + 3x)1, (0, 1)

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Q: 5) Find an equation of the tangent line to the curve y = 2x sinx at the point (T/2,TT)

A: Given : y = 2xsinx

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

A: y = sin(sinx) dy/dx = cos(sinx).cosx

Q: Question 7

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

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

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

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

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Q: An equation of the tangent line to the curve y= cos(x) at a = T/3 is (- 7/3). %3D y =

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

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Q: 1. Find an equation of the tangent line to the curve y = Vx at the point (1, 1).

A: Question no. 1Given,            A n equation of the tangent line to the curve y=x at the point…

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

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Q: Find the slope of the line tangent to the curve y = sin x at the point where x = 3

A: Given: y=sin5x To find: The slope of the line tangent to the curve y=sin5x at the point where x=π3

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: 4. Find the equation of the tangent line to y sin(2r) = r cos(2y) at the point (, ).

A: topic - equation of tangent line to curve

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

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Q: . Find an equation of the tangent line to the curve y = Vx at the point (1, 1).

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Q: Find the equation of the line tangent to the curve y=x+cosx at the point (0,1)

A: Given, curve and point

Q: 8. Find the equation of the tangent line to y = sin (r) cos(r) at

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

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

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Q: (B): Find the tangent equation to the curve y = sin²x at point x =

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Q: Find an equation of the tangent line to the curve 2 sin(xy) − y2 + 2x+1=0 at the point (0, 1).

A: Given, f(x,y)=2sin(xy)-y2+2x+1 at the point (0,1)