Q3: Use Chain Rule to differentiate the following functions 1. f(r) = (4x² - 3r + 2) 2 2. y = csc(4 + 10r) 3. f(r) cos(3r) sec(1-r)

Q: T/4 ttant dt 2+ cos t -7/4

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Q: What is the equation of the midline for the function f (x)? f (r) = 3 cos (r)- 2.5 Enter your answer…

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Q: The population in millions of arctic founder in the Atlantic ocean is modeled by the function P (t)…

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Q: Eses: Find the derivatives of: 1 In sinx, 2 - sin(lnx), 3 - e-cosx 4 - /cos(3x - 1), 2 - [1+ cos(x?…

A: Note: According to our expert guidelines only first three subparts are to be answered kindly repost…

Q: 6. If f(r, y) = tan-(x/y), then the value of f,(3, 2) is %3D -3 (b) (c) 1 (d) -2 (a) 13

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Q: (5) (sec-i x) =, d

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Q: Find the derivative of y = (4 - 2x³)(2x + x³). O a. y= 12x5+ 16x - 12x² - 8 O b. y = 12x° + 16x³ +…

A: As per our guidelines we are supposed to solve only one question i.e. the first one. For the…

Q: Exercise 2. Evaluate f'(-T/3) where f(x) = = cos-(cos ). Be careful this one is little tricky.

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Q: Find y as a function of a if y(1) = 3, y'(1) = -7. y = r²y" + 3xy' - 63y = 0,

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Q: prove the following relationships. Note that x(z) = ] [x(+)]. 1. ] [ a^² XLE)] = x ( ² / ) 2. ] […

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Q: Q1/: a: Using the relation showthat J-va (x) = 2 cos x

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Q: AB1: Find g(2), g'(2), and g"(2).

A: Given that gx=∫-2x2ftdt Now we have to find g2, g'2 and g''2 In the interval -2,2, fx=4-x2In the…

Q: G. (CHAIN RULE) 1. f(x) = (3x² - 2x+4)² 2. y = sin 2x 4 (a² - y²)² 4. g(x)= (3x² + 4x - 5)5 3. 2 =

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Q: Identify the function f (x). I (x) = (f (x))° = cos 2x

A: Given,          lx=fx6=cos62x

Q: Calculate the derivative using implicit differentiation: சம dz || -2zw - 7y (x³ +8w+z²) θω dz…

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Q: 3. (a) For P(t) = (4t² + 3) (2t³ — t)¹², find P'(t). After taking the derivative(s), do not simplify…

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Q: (a) Differentiate f(x) = Vx+4 by using the first principle. (b) Differentiate the following…

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Q: 8. For the function y = e* + sinx: a. Determine y', y",y",y^),y(5), y(6). b. Describe the pattern…

A: We have to find the differentiations of the give function and find y101.

Q: Function dy du dy du dx dx = (5x³ – 7x² + 2x – 3)*) _y = csc(x² – 3) y = 5x² – . y = V5x2 – 4 _y =…

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Q: 15. 17. f(x) = (2x – 3)*(x² + x + 1)* - 18 19. AU

A: From the derivative of given function

Q: Q3) Find the approximate root of the following equation f (x)= cos x – x e* = 0 , on the interval…

A: The given equation fx=cosx - xex=0 on the interval 0.25,0.75 Use the bisection method…

Q: f(x + Ax) - f(x) D. APPROXIMATE DERIVATIVES f (x) Ax 7.) y = x2 +7x – 10

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Q: 2+ cosh r (r² + 4) Compute the derivative of y = In I - (r+ 1) Compute the derivative of f(x) =…

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Q: 4 (a² - y²)² 4. g(x) = (3x² + 4x - 5)5 3. 2 =

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Q: f(x.y) = xtan(). =tan( ес

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Q: Find f. f(t) = f'(t) sec(t) (sec(t) + tan(t)), -2-√2 x Need Help? Read It Watch It - 1/2 < t < 1/₁ (…

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Q: If f(w) ) = cos¯¹(7w¹), find ƒ'(w). Use exact values and don't forget the chain rule. f'(w) =…

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Q: Find the value of f(0) when 3 sin(2t), f( f'(t) 1. f(0) 2. f (0) 3. f (0) 4. f(0) 5. f(0) = = = = =…

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Q: The domain of f(r) =tan(x) is Select one: a. 2 2 O b. IR - + nn} O c. IR O d. R {nt}

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Q: 2, Differentiate the following functions. DO NOT USE PRODUCT OR QUOTIENT RULES. SHOW ALL…

A: a. f(x)=e6+5x4+6e Differentiating f(x) with respect to x using power rule of differentiation…

Q: (x² +8) cotx 2 - cos x csc x Find f' (x) when f (x) = 2x cot x – (x² + 8) csc²x A. f' (x) = csc²x 4x…

A: As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Product rule: f·g'=f'·g+f·g' The…

Q: Find f and f, and evaluate each at the given point. () (4, -4) f(x, y) = arctan %3D f(x, y) = f,x,…

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Q: 1 f (x) = x4 – Vx³ + x$

A: The function is given by fx = x4-x3+x18 To evaluate: The derivative of the function.