. Find f+g, f-g, fg and . 1 4 1. f(x) = , g(x) =12 2x' x+12

Q: Find the derivative of function f given by S(1) = =! X-1 3 x+3'

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Q: 2. find the high er order derivative of the given funcion witch whi ch Equal to 2ero f (x) = = x°-…

A: If we have a function f(ax) then the derivative of the function will be,     Here it is given that,

Q: 1 dt. o t4 +5 Let f(x) = Find the derivative f'(x). e2x none of the choices et

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Q: 12. Given the function y=6x-2, find the derivatives O -6 O 2 O -2 Required

A: Topic:- calculus

Q: 2. Find the derivative of the following functions. (a). g(x) = cos (2x + 1) (b)," f(x) = In (x² – 4)…

A: To find the derivative of the functions

Q: 4. Determine the derivative of the function with respect to x. 8sin?(x² + 2) y = 4tan²(x² + 2)

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Q: -4 Find the line 1. f(x) = x³ - 2. f(x) = cos 2 3. f(x)

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Q: Find the derivative of f(x) = In(e +4) 1 O 3e? e+4 3e3

A: We use the chain rule

Q: 3x Suppose h(x) = (:) What is the correct result of the derivative of h with respect to x? · In (5)…

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Q: Suppose we are given the data in the table about the functions f and g and с. their derivatives.…

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Q: - Find the derivative o y with respect to n ort. 4 4 16

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Q: 4.x – 4 if x > 2 4. Suppose f(r) = Find f'(2) using the definition of derivatives. if r < 2

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Q: 5. Consider the function h(x) whose derivative h' (x) = 3x2Vx3 + 8. (a) Find functions f and g such…

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Q: 1) Find the hundredth derivative of p (x) = (x + x° + x')'º(1 + x²)'' (x³ + x° + x'). Justify your…

A: Here we have to find the hundredth derivative of p(x)=(x+x5+x7)10(1+x2)11(x3+x5+x7) .

Q: 4.x – 4 if x > 2 4. Suppose f(x) = Find f'(2) using the definition of derivatives. if x < 2

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Q: Use differentials and the graph of g′ to approximate                                      (a)…

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Q: x-2 For the function 10x) = ind f(X), the third denvative of t and i ), the fourth derivative ofT…

A: Please refer the attached image for complete solution.

Q: 4.x Suppose f(r) = if x >2 if x < 2 4 Find f'(2) using the definition of derivatives.

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Q: 1. Find the derivative of the functions, do NOT simplify. a. y = In(8 – 3x) | b. y = ln /2.x + 1 3a2…

A: We have to pick the most challenging formula among differential formulas and solve it.

Q: 2. Find the derivative of the following functions: (a). f(x) = x + 4x-2 + 6e" [1 Mark]

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Q: 4. Find the second derivative for the following functions: a) (ans.:6x +

A: Derivatives

Q: B. Find the first and second derivatives of the following: 1. m(x) = 2(x)(√x) 2. a(x) = √3x 3. [u(x)…

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Q: Which of the following shows how to find the derivative of f(x)? 3e* f(x) |3D ex-7 (ae(*-7) -…

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Q: find the extreme values on the interval f (x) = x − 12 ln x, [5, 40]

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Q: 1. Find the derivative of the following functions. (find y') a. у %3DIn(cos(20)) b. cos(xy) = x - y…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: Find the indicated derivatives for #'s 1-6: 1. y'for y = 4In x 2. f'(x)for f(x) = In x³. 3. a. f'(x)…

A: As per guideline we have to solve three question

Q: 6. Find the derivative for each function. b. f(x) In 5x3 2)3 f(x) (e*3 2) а.

A: Use exponent rule for exponent 3 and use chain rule for (e^x^3 +2)

Q: 4. Find the second derivative for the following function a) )* 22 y3(x+ (an b) f(x)=/2x + at x= 2 c)…

A: See the attachment

Q: 7–46 Find the derivative of the function. 8. F(x) = (1 + x + x²)9

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Q: 1. Find the derivative of each of the following functions a) f(x) = cos5x %3D b) g(x) = cos 5x c)…

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Q: h) f(x) = ln (xe³z)

A: We will use the chain rule of differentiation and the product rule of differentiation to…

Q: 7. Find the 20th derivative of f(x) = e2* at x = 0 A. 218 В. 219 С. 220 D. 221 E. 222 F. None of the…

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Q: 3. Find the derivative of the following function using the formula. S(x + h) – f(x) lim a. f(x) =…

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Q: n (2) Find the derivative of the function f(x)= e at 2= 2 by using numerical affronsmation for the…

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Q: 5. If f(x) = x², g(x) = and h(x) = √x² + 2x, determine the derivative of each composite function. a.…

A: Given: f(x)=x2,g(x)=1x′ and h(x)=x2+2x First find the composite functions and then differentiate

Q: 5. Find the second derivatives. f(x) = x cos(x) and g(x) =

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Q: 11 8 Find the derivative of the function: y = 3(x – 4)' x-4

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Q: 1. Determine the third derivative of the following. A. f(x) = x³ – 4x² + 5x + 3 B. f(x) = Inx [ K:…

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Q: 2. Find the derivatives of the following functions as specified: a. h (2) = (9z +4), b. g (x) = (æ²…

A: I am attaching image so that you understand each and every step.

Q: IV. Obtain the 2nd Derivative of the given function. 7. 4y – xy? 1

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Q: 1. Find the derivative of f(x) = e" (x² – 1)ª. Make any obvious simplifications.

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Q: What is the first derivative with respect to x of the function g(x) = 3/9 9. O 1/2

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Q: 2. Find the derivatives of the following functions. 4 a. f(x) = 3x³ x2 b. f(x) = (4 – x²)" C. f(x) =…

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Q: 6.) Find the derivative of the fonction 2 8- g'cx) =

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Q: 4+ 9e Use the Quotient Rule to determine the derivative of the function w(s) 7e + 8

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Q: Find the derivative of f (2) = xe 2 o f (2) = e * (e – 22) z- O f (x) = x°e-2# (;- 2) O (E) None of…

A: The product rule of differentiation states that d dxfg=fdgdx+gdfdx, where f,g are functions of x.…

Q: IV. Find the derivatives of the foll 1. y=-10x +3 cos x 2. y xcos x

A: 1. y=-10x+3 cosx2. y=x2cos x3. y=sec x+tan xsec x-tan x4. drdθ if r=secθ cscθ

Q: 8. If the derivative function of f(x) is continuous on [1,2], and f(1)=1, f(2)=4. Find* O 15 02 24

A: The given integral is: I=2∫12f(x)f'(x)dxLet, f(x)=t⇒f'(x)dx=dtWhen, x=1⇒t=f(1)=1When,x=2⇒t=f(2)=4

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given that, the function f = xy2(z3 - 1) We need to find that  g(x, y, z) =  ∂f∂x + ∂f∂y + ∂f∂z