1. Which of the following functions have a derivative at x =0? I. y - x" II. 1/3 y = x/x| III. y = cos. - Xx

Q: het's say y is the derivative function of x and i Ty CoS 17 Find the 11

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Q: dy for the function y GI The derivative

A: Note: You have posted multiple questions, we have solved the first question for you if there is a…

Q: Determine and y such that 0 [xy 139+223-412,3] = 2x y -5

A: To determine the values of x and y.

Q: y = 4e" Vx et y = x2 – 1 x2 – 1

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Q: Find the derivative of the following function: 5. sin (cos(x))

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Q: 4. y = tan¬1(3x) cos 1 4x 5. y =

A: To determine the derivative of given functions. Here we will use the following formulas-…

Q: 1. y=(sin ¹x² + X 1+tan x

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Q: tan(xy) + xy = 0

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Q: y = sin(In 2x) a. sinx b. In 2x c. cos(ln 2x) cos(In 2x) d.

A: From the chain rule of differentiation, ddxu(v(x))=dudv×dvdx Here, v=ln(2x) and u= sin(v),

Q: Find the derivative, simplifying as needed. (a) f (x) = cos x . ln x (b) y = cos a

A: Derivative formula for the product of two functions

Q: EX. 3 Find the first derivative of the function tabulated below at point 1.5. 1.2 1.5 1.7 0.1823…

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Q: 3. ソ=eCosx

A: To find the derivative: y=ecosx Solution: y=ecosx On differentiating both sides w.r.t x we get:…

Q: find the derivative. y = (tan −1 x)3

A: Use power rule and chain rule.

Q: 4. Find the derivative of the functions. (2x2-3) a. y = (x247)5 sin x b. y = 1+cosx

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Q: Q2/ Find the derivative 1. sin(xy)= of each of the following functions:- 2. y =(Inx)³ 3. y=cos (sin…

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