(a) Find the slope of the line tangent to the curve y = sin x at the point where x = T/3. (b) Show that the slope of every line tangent to the curve y = 1/(1 – 2x)³ is positive.

Q: Determine the equation of the curve whose tangent line at any point (x,y) is e- sin x and passes…

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Q: (a) Differentiate with respect to x: g(x) = 4x2 – x +5 (b) Differentiate with respect to x: h(x) =…

A: We know that :ddxf(g(x))=f'(g(x))g'(x)

Q: 16. Find the equation of the tangent line to the curve y = e* at the point (a, f(a)) when a = In 3.

A: I am going to solve the given problem by using some simple algebra to get the required result.

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

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Q: Find an equation of the tangent to the curve at the given point. x = cos(t) + cos(2t), y = sin(t) +…

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

Q: How do I do this?

A: We are given a function and at a point

Q: 8. Find the equation of the line tangent to the graph of y tan (sin) when z= V2/2.

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Q: 4. Determine an equation for the tangent line to g(x) = 3 csc(x) – 2 at a = T/4.

A: Solution :-

Q: 1. Find the equation of the tangent line to the curve x = e', y = et at t = 1.

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

Q: (b) Find the equation of the tangent line to the graph of the equation sin-"(x + y) = ;r² 2 at the…

A: Topic = Derivative

Q: #36 Find the equation of the tangent line to the graph of X²(x²+y²) = y? at

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Q: 2 Find the equation of the tangent line to the graph of f(x) = at The equation of the tangent line…

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Q: Find the slope of the curve 2xy = In(e*) sin(x) at the point (2,2)

A: to find the slope differentiate  the equation with respect to x .

Q: 1- Find the equation of the tangent to the curve y = 2 sin x+ cos 2x at the point. x = N.

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

Q: Find an equation for the tangent to the curve at the given point: y= x2 + ex −e; at (1,1).

A: The equation of given curve is, y= x2 + ex −e The point of tangency is (1,1)

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

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Q: (B): Find the tangent equation to the curve y = sin² x at point x = = 33.

A: The curve y=sin2x at point x=π3

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: 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 the equation of the tangent line to the curve y = 6 sin x at the point (T/6, 3).

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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: 2 Find an equation of the tangent line to the curve y at the point(0,1). (1+e¬x)

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Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

A: We can answer the question in the following steps.

Q: Find an equation of the tangent to the curve at the given point. cos(t) + cos(2t), y = sin(t) +…

A: We need to find tangent.

Q: 22. Find an equation of the tangent line to the curve at a given point y = e* cos(x), (0, 1)

A: Given:      Curve y=ex cosx     point =0,1   Finding slope m of the tangent evaluating the…

Q: 1 x = sin 2nt and y = cos 27t. Find the equation of tangent line to the curve at the point t 6

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Q: d the equation of the tangent line to the graph at the specified value of x. y=x√3-x², z = 1.

A: Given query is to find the equation of the tangent.

Q: 4. Find the equation of the tangent line to the curve 2xy+r sin y = 27 at the point (1.%).

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Q: Find an equation of the tangent line to the curve at the given point. y = sec(x) – 2 cos(x), P = 1 3

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Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = V3x – 5

A: since you have posted multiple question in this question which are not interlinked so i have solved…

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: 3n Find an equation of the tangent line to y = 7 sin(x) at x = .

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Q: 3. Find the equation of the tangent line at point P(2,1) to the graph of the curve f(x) = v3x – 5

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Q: 6. Find the equation of the tangent line to f(x)= = tan (2x) at the point (n/8, 1).

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Q: find y' and find the slope of the line tangent to the graph of y = sin-1(x/4) at x = 2.

A: Here in this question we need to find out the slope of the line tangent to the curve y = sin-1(x4)…

Q: Find the equation of the tangent line to the curve y = 4x cos x at the point (, - 4). The equation…

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Q: Find an equation of the tangent line to the curve at the point (1, 1/e)   y = x3e−x

A: Given query is to find the equation of tangent line to the curve   y = x3e-x

Q: 6. Find the equation of the tangent line to the curve y = e when it is parallel to 2x- y=7.

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Q: - Find an equation of the tangent line to the curve sin(r+y) = 2y – 21 at the given point (-7, –x).

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Q: -2x²+2x+1 Find the equation of the tangent line to the graph of F(x) evI dy at x = 0. sech my

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

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Q: 3. Find Hhe to the (1,2) slope of the tangent live r=2-sin@ at the point curve

A: Then we plug this in the slope formula of the polar curve

Q: d the equation of the tangent line to the curve y = 5x cos x at the point (7, e equation of this…

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Q: 1. Given y = sin(x In.x), what is the slope of the tangent line at (e, 0)? (The red line.) 2. Given…

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Q: 1. Find the equation of the tangent line of the curve cot (x + y) – sin (x - y) = 1 at (0, n 2 ).

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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: The equation of the tangent line to the curve y=x² +1 at x = -4

A: