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: 2. Differentiate the following. Simplify your derivatives as much as possible. f(x)= (3x² – 4) |b)…

A: As per our company guidelines we can answer only three subpart question at a time so if you nee more…

Q: # 41) Use the definition of derivative to find f(r) and "(r) for (r)= 1+ 4r- r

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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: Differentiate implicitly the function y(x) given by the equation y=cos(x+y).

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Q: Find the differentiation of the following functions: f(x) = x* – 4x³ + 4x² i. i. y = *+16 y = x/3 +…

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Q: Ssin(2x+3)dx= d -1 cos(2.x+ 3)+C 2 a 5 cos(2.x + 3)+C -1 cos(2x+3)+C - cos(2x+3)+ C e cos(2x +3)+ C

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Q: Given the functions fz) = 3* and g(x) = sin x, determine the domain of the combined function y=…

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

A: Given,          lx=fx6=cos62x

Q: The range of f(x)= cosx is: *

A: Cosx is a trigonometric function with period 2π.

Q: y=2(21,2-1 + arctan x) 2 2 x-1

A: Please see the whiteboard.

Q: Differentiate the function. ((5y + 1)3 Vy2 + 1 G(y) = In G'(y) =

A: Solve the following question

Q: For f(x)=cosx+sinx, determine all of the values of x for which f(x)=0

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Q: 2. Find the anti-derivative of a. f(x) = 2x¹ - 5√√x³7−2e* ++ 3 1 1+x²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: T/2 V1+cosx dx T/3

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Q: Find f′(x) and f′(c). Function f(x) = x cos x Value of c = /4

A: The given function f(x) - f(x) = x cosxDifferentiation on both sides with respect to 'x' to get the…

Q: Write the function f(x,y) = xcosh(x)cos(y) - ysinh(x)sin(y) + i(xsinh(x)sin(y) + ycosh(x)sin(y)) in…

A: f(z)=Re(z)cosh(Re(z))cos(Im(z))−Im(z)sinh(Re(z))sin(Im(z))+i(Re(z)sinh(Re(z))sin(Im(z))+Im(z)cosh(Re…

Q: ind the interval of increase and decrease of the following functions: ii. f(r) = r°(5 – r)? vi. f(x)…

A: As per guidelines we can solve only three subpart. For any other questions repost them.

Q: -2t L{e cos? 21

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Q: Use the Product Rule to differentiate the function. f(x) = x° cos(x) f '(x) = %3D

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Q: Let h(x) = tan(2x + 8). Then h'(3) is and h''(3) is

A: This question is about application of derivative

Q: (X),4 %3D (b) Compute the derivative of f(x). (g) 4 (x)J – (4 + x) 10xh + 5h“ – x + 8 8 + x – 2. (a)…

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