x2 - 1 :) = x² + 2' refer this time? ag .2

Q: 1. Find derivative of given function defined as follows. y = (8x²-3x³) ³

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Q: Find the derivative using the chain rule: x(x^2+1)^(-1/2)

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Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 2. y = 2 Arccos (1-x/2)+ Square root of…

A: Second order derivative.

Q: At the point (1, 2),the function ƒ(x, y) has a derivative of 2 in the direction toward(2, 2) and a…

A: Consider ∇·f=ai+bj at point (1,2). The expression for the direction towards the (2,2) is, The…

Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x - 5 at x = 0 using…

A: Given function is y=x2+4x−5. We have to evaluate the first derivative of y=x2+4x−5 at x=0 using a…

Q: z (y/)° = y

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Q: In y - Р(у) - %3D ey

A: We will use division rule and standard formulas to find required derivatives

Q: Find the derivative of y=cos4 x sin4 x Ans: 1/2 sin3 (2x) cos cos (2x) solution?

A: We simplify the given expression using the double angle property

Q: By the chain rule, the derivative of arctan (4x^5) is:

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Q: 10. f(x) = cos (2x)e*²-1

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Q: Find the first four derivative  if  y= cosx

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Q: In the given equation/s , find the slope of the graph of the function at the given point. Use the…

A: we have,  y=26-sec34x we have to find the tangent to the graph on the point (0,25)

Q: 40 60 100 What is the derivative of y(t)?

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Q: y = sec (2 – 3x)

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Q: Obtain the derivative of the function y (3 sen(4x))° ( tgʻ(2x)) y = (sec(2x))* – 1

A: This question is based on Trignometric application and diffrentiation of function.

Q: et+1 g(æ) = x + 1

A: Given that gx=ex+1x+12To find : g'x Solution :…

Q: find the equation of the tangent line to the graph of f(x) = x^3 + 3x^2 at the point (1, 4) without…

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Q: what is the derivative of this question with solution y= csc (4x² ) Arccsc (4x² )

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Q: Find the derivative Of U-5

A: Derivative of integration

Q: y = csch /sec(x³ + 2)

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Q: 1. x² - 2xy + y² − 6x + 2 = 0

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Q: Solve for the derivative of t y =2 V3-z Previous

A: This is a basic differentiation problem

Q: Suppose x and y are variable (y is a function of x) that satisfy the equation Sin(x+y)=xy, What is…

A: To find the derivative of y with respect to x

Q: Find a function with the given derivative whose graph passes through point P f'(x)= 2xx+1-cosx,…

A: To determine the antiderivative satisfying the given initial condition

Q: S Sin 5t-205 2t-2(03 2€ ; s(登)=

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Q: Solve using a derivative y= 2x tan (3X+1)}" 3. 2.

A: Consider  y=2x3tan3x+12

Q: Two equivalent forms of the Chain Rule for calculating the derivative of y = ƒ(g(x)) are presented…

A: Two equivalent forms of the Chain Rule for calculating the derivative of y = ƒ(g(x)) are presented…

Q: Find the function ƒ(x) whose derivative is sin x and whose graph passes through the point (0, 2).

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Q: We want to use the Richardson method to calculate the first order derivative antisymmetrically at…

A: We need atleast 2 points to calculate the Richardson second order derivative. The small parameter…

Q: Solve for the derivative of the function using chain rule. 8. f(x)= sin (2x)cos (3x)

A: Given problem:- Solve for the derivative of the function using chain rule.   8.     f(x)= sin…

Q: 9) Find the value of the derivative at the point (2,-18) ƒ(x) = -3xV2x + 5

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Q: ,2, (x²–1)* Dx (1+8x)5

A: To Determine: find the derivative using chain rule  Given: we have y=x2-141+8x5 Explanation: we have…

Q: Find the equation of the tangent line to the function f(x) = x² – 2 at the point (1,-1). You must e…

A: Given, fx = x4 -2  We have to find the equation of the tangent line to function at the point 1, -1.

Q: Find the derivative of: - 4 sin (4a*). - Hint: sin“(x) sin(x)]...so use the chain rule (twice!).

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Q: Find the derivative of: – 7 sin (2x°). - Hint: sin? (æ) = [sin(x)]"...so ...so use the chain rule…

A: Solving by chain rule

Q: Which is the derivative of y= sin (x2-2x + 1)? О 2х-2) (2x-2)Cos(x²-2x + 1) O Option 2

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Q: Find the derivative of:-6 sin(- 2x*). Hint: sin (x) [sin(x))*...so .so use the chain rule (twice!).

A: We will find the derivative of the given function.Below find the solution in the image.

Q: 5. y = [csc Jarcsin (cos.x)

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Q: How would you find the derivative of sin (z^6) + sin^6 (z) using the chain rule?

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Q: 1. What is the derivative of f(x) = x2 – 8x + 12 when you illustrate using tangent? 2. What is the…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: y = – 1/1+ Vx 3

A: Here we will find the derivative,

Q: Obtain the derivative of the function y (ctg(5x))} y =- - sen? (5x) + 1

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Q: 2 12. f (x) = (1tsinx) Cosx

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Q: Solve for the derivative of the function using chain rule. 6. f(x)= cot(6x3+5)

A: Derivative

Q: Find the derivative of ?(?) = 5 sin(2?). using the chain rule

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Q: y = sin(3x²) cos(3x²)

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Q: r(x)= cos (3x)

A: