yA 2+ y = 1- cos x B. *+ 0.5 + 0.05

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A: given function is w=g(z)=1+4-z find the equation of  the tangent at (3,2) find the differentiation…

Q: Direction: Find the first derivative of the following functions: 1. y = sin (2x) – cos (2x) 2. y =…

A: Solving question number 6

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

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Q: Formula for slope: f(x + h) – f(x) m = lim h→0 h 1. Given the function: f(x) = x² + 2x + 1 where x =…

A: The given function f(x)=x2+2x+1 , x=3m=limh→0f(x+h)-f(x)h

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A: GIVEN DATA : Function y=f(x)=4+3-x       TO FIND : Equation of the tangent line at (x,y)=(-1,6) to…

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A: Here we have to determine the constant a and b. The given function is f(x)=x2+bx+c…

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A: Given: Equation of curve: f(x) = x2 + bx + c . Equation of tangent to this curve at x=1 is y=4x+2.

Q: Applications of Derivative: Tangent and Normal Line 1. For x3 + y3 = 6xy, find the point where…

A: The given equation is:x3+y3=6xyTo find the point where the tangent line is horizontal

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Q: Direction: Find the equation of the tangent line to the function at x=a. 1. у %3D Зх-1 at x = 9 x+2…

A: We know, the equation of the tangent line to the function f(x) at x=a is given by y-f(a) =…

Q: Finding the Slope of a Tangent Line InExercises 9–14, find the slope of the tangent line tothe graph…

A: Given, The function f(x)=2x2-3  The curve can be differentiated to find the Slope of the tangent.…

Q: f (x) = 8 sec(x) csc(x)

A: Here we will find the derivative,

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Q: f(x) .3 II

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Q: 43

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Q: Derivatives: using (4 step rule). 4. f(x)=sin3xcos3x 5. f(x)= x² cos(x² +1)

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Q: derivative of f(x, y, z) = x + z at P(6,5,-5) in the direction from P to Q(5,7, -4). NOTE: Enter the…

A: We can solve this as follows:

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A: Given: y= f(x) = xx , for x>0               Now,                                      lim  x→∞…

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Q: sin a Determine the derivative of sec x sec x cos z-sin z sec tan e sec2 a O 1 1-sin x sec2 x sec2 x…

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Q: Tangent lines Assume ƒ is a differentiable function whose graphpasses through the point (1, 4).…

A: Tangent lines Assume ƒ is a differentiable function whose graphpasses through the point (1, 4).…

Q: Derivatives from tangent lines Suppose the line tangent to the graphof f at x = 2 is y = 4x + 1 and…

A: Given that: Tangent line of f at x=2 is y=4x+1⇒f(2)=9And slope of tangent line of f at x=2 is 4(i.e…

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Q: 1 2. Find the derivative of y =V1 - x2 +arcsin x 2°

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Q: Assignment: Determine the derivative of the ff. functions. 1. y = 8x5 - 2021, 5th derivative 2. y =…

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Q: 61

A: Let (a, f(a)) be a point on the curve f(x) = x2 . now find the slope of the curve at the point (a,…

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A: Detailed solution is given below.

Q: The Reciprocal Rule a. The Reciprocal Rule says that at any point where the function v(x) is…

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Q: Function Point f(x) = tan² x 4 (a) Find an equation of the tangent line to the graph of -4x-T+1 X…

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Q: Point Tangent line Function 1. y = x* - 3x? + 2 (1,0) 2. y = x3 - 3x (2, 2, ) 2 (1,2) 3. f(x) = %3D…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: The Second Derivative Test Use the Second Derivative Test to locatethe local extrema of the…

A: Given function is  (A) fx=3x4-4x3-6x2+12x+1  and x∈-2, 2 Differentiate the fx with respect to x.…

Q: Direction: Find the first derivative of the following functions: 1. y = sin (2x)- cos (2x) 2. y =…

A: 3. y=tan(3x) cot(3x)4. y=cos x1+sin x6. y=xarcsinx+1-x2

Q: PRACTICE PROBLETM

A: Due to Bartleby guidelines, only 1question can be solved. Please repost the remaining questions to…