6. Differentiate the functions. (a) f(x)=22.3 (b) f(x)=x°2 (c) f(x)= {x³

Q: 1. Write the equation of the line tangent to f (x) =1 + e*sin(2x) when x = 0. %3D %3D

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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: 2) Find the equation of the tangent line to the graph of x? + (y – x)3 = 9 at the point x = 1.

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Q: (a) Find an equation of the tangent line to the curve y = (1+x²/3}3/2 at x = -1.

A: Given: y=1+x2332 for finding equation of tangent at given pointx=-1, first we need to find slope of…

Q: Find an equation of the line tangent to f(x) at the point |3D 1+e

A: Find slope at given point and then use formula  to find tangent line

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: 3. Find (a) the derivative , y dy 4 -32x %3D (b) find the slope of the line tangent at x=4 (c) find…

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Q: 3b. Find an equation of the tangent line to f(x)=2x+x-1 at the point Where x 1. %3D

A: The solution of the problem is given in the next step.

Q: 7) Find an equation of the line tangent to the curve y = x+5 at x = 3. х-1

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Q: 1) Find an equation to the line tangent to y = (x – 3) 2 at x = 0.

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Q: 3x The equation of the line tangent to f(x) 1 at x = – 2 is x + 3 y = 10x +

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Q: What is the equation of the line tangent to the curve e" + cos(x) = 1 at the point (6,0)? A y = x -…

A: Given, The equation of the curve ey+cosx = 1 We have to find the equation of the line tangent at the…

Q: 3) Find an equation of the tangent line to the graph of y = (z + 4)² at z = 4.

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Q: Q /Choose the appropriate derivative for this function y = (x + 1)²¯*

A: Given equation:y = (x+1)2-x required:1) dydxSol:y = (x+1)2-x →taking logarithms on both sides we…

Q: Compute f 1 (x) and find an equation of the tangent line to the graph at x = a. f (x) = x4 , a = 2

A: Consider the given function fx=x4  When x=2, then y=fx=24=16 Hence, point on the curve is 2, 16   To…

Q: 5) Find an equation to the line tangent to y = (x +3)³ at x = -3.

A: as per bartleby guidelines  i can do only first question. please ask other question seperately.

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: 4. Find the equation of the tangent to the curve y = xe* at the point (1, e):

A:

Q: Find an equation of the line tangent to the graph of y sin x – 3y = 4 at the point %3D (, 4) .

A: y2sinx - 3y = 4 at (π/2 , 4) we have to find slope of function 2ysinx(dy/dx) + y2cosx -3dy/dx = 4…

Q: Q1) A) Find the tangent equation for the function f(x) = Vx² + 5 at =2 ?

A: To find  The tangent equation for the given function

Q: 19 Find all x-values where the tangent line is horizontal for the function v(x) = x3 − 12x + 10

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Q: What is the equation of the tangent line to the graph of f'(x) at x = 4, if f(x) = vx? O y = - + O y…

A: Topic:- application of derivatives and tangent equation

Q: (b) Find the equation of the line normal to the tangent at the point x’y+xy² = 6.

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Q: 3. find the second order derivative 어: Xt xy t y= 16 2 4.

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Q: (b) What is the equation of the tangent line for f(x) = x² – 1 at r = 4?

A: f(x) =x2-1

Q: II. FIND THE EQUATION OF THE LINE TANGENT TO_f(x) 1. f(x)= (x+1)' (2x +3)² at x=-2

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Q: c) Find the equation of the tangent line to the function y = sec²x at the point (2:2).

A: Given function as y=sec2x

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: What is the equation of the line tangent to the curve e + cos(x) =1 at the point.0 A y=x+ B y=0 y=x-

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Q: Q1) A) Find the tangent equation for the function: f(x) = Vx +5 at x-2? %3!

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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: Q1) A) Find the tangent equation for the function: f(x) = Vx2 +5 at =2?

A: The given function is; f(x) = √(x2+5)

Q: (2) At what point(s) will the tangent line to y = x² – 4x + 3 be horizontal?

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

Q: Find the derivative y′(x) of the function that describes the general equation of a second order…

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Q: 8. For the function f(x) = x2 - 2, find: a) The slope of a tangent line at x = a.

A: To find the slope of tangent line at x=a.

Q: 2 at x 3 3x The equation of the line tangent to f(x) = 2 is |

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Q: Find the equation of the tangent to the graph of f(x) = (x² + 28)^/ at x = 2. 8. 96 A y=Dx+ 8. y= 8…

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Q: 1. For the function f(x) = 3x² + 8x – 7, (a) Find the slope of f(x) at x = 3 (b) Find equation of…

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Q: Q1) A) Find the tangent equation for the function: f(x) = vx2 + 5 at =2 ?

A: The equation of the tangent using the slope intercept is y=mx+b Where 'm' is the slope of line and…

Q: 12) Find the equation of the line tangent to g(x) = (3x + 11)ex-4 at x = 4.

A: ddxuv=vddxu-uddxvv2

Q: 2. Find the equation of the tangent line to the graph of f(x) = 3x?e-1 - 1, at r = 1.

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Q: Q3)B/ Find the slope of the tangent line to the graph of x² cos(y) = 2y- eš* at the point (1? %3D 00…

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Q: 5) Find an equation to the line tangent to y= (x + 3)³ at x =-3.

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

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Q: 12. Find the equation of the tangent line to f (x) = x³ at the point P(1,1).

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Q: What is the equation of the line tangent to the curve e+ cos(x) =1 at the point .0)? A y=0 B y=x -…

A: Explained below

Q: 2 2х + 2х +1 G(x) = Jsech(x) y e dy

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Q: B) Find the slope of the line tangent to the curve y = sin3x at the point where x =

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Q: Q3) Find the equation of tangent line to the curve y/sin(x) +y²=2 at the point (,1).

A: