IV. Directions: Find the derivative of the following functions. x²+³√x+√x+28 22-26. f(x) = VX 27-31. f(x) = (2x + 1)(4x + 3)(5x − 1) 3x +2 32-36. f(x) 3x-5 COSX−4x 37-41. f(x) = cos x+4x =

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A:

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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: Complete the table to find the derivative of the function. Original Function Rewrite Differentiate…

A: NOTE: Refresh your page if you can't see any equations. . .................rewrite

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A: Consider the given function, ft=tan-1t+2t2t   t&gt;0a                     t=0ebtan-1t…

Q: х — 2 sin? 3x 11.у %3D 2x2

A: Since we are given with multiple question and our guideline is solve first question only kindly…

Q: solve for the first and second derivative of the function:

A: Given function is: f(x)=log2 cos x + ln π We need to find the first and second derivative of the…

Q: For g(x) = ex, find g(17)(x) %3D

A: Given that,                    g(x)=e7x                    find g(17)(x)

Q: x+1 39. f(x)= In -+arctan x x-1

A:

Q: 3. y = ln³(x + sin x) 4. y = tan¬1(3x) cos 1 4x G ED DI 5. y =

A: All the questions are a solved below.

Q: 33 f(x) = sin 2x + Ve2x + 2x – In e, x # 1 1-x

A: derivative

Q: Original Function Rewrite Differentiate 1 5x4 y = == Simplify

A: Solution is given below:

Q: =Gsec x)(ax +3)" sec x (h) r(x) %3D (2x+3)7 -8

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Q: 10. y = 11. h(x) cos x+2 sin 2 tan x 12. y= Csex 13. y= cos- 14. h(x) tanx sec x-1 cot 2 15. f(x) =…

A:

Q: 12. a(t) a' (t) b(t) b'(t) -4 2 -3 -4 1 a. f(t) = a(t)b(t) Find f'(-4). b. g(t) = -3a(t)b(t) Find…

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Q: 3. 6. t ca)

A: The chain rule of differentiation is to be used to find the derivative of f(x)=(x3+x-1)3. The chain…

Q: Find the first and second derivatives of the function. f(u) = V7 - 5u f'(u) f"(u)

A: Given function f(u) = 7-5uWe find first and second order derivative.

Q: at x= 1

A: 9). Given function is fx=2ex-x. To find derivative of the given function at x=1. Solution:…