Find the derivative of the following. 2. g(x) = sin x tan x 1+sin x 3. h(x) = 1-sin x x+4 4. i(x) = cos x 5. j(x) = [(x2 + cos x)(2x - sin x)]

Q: Find the value of the derivative (if it exists) at the indicated extremum. (If an answer does not…

A: Find your answer below

Q: 1) Find the derivative of the given function with respects to e 3tan ở In 3 y

A: Given

Q: 3. Find the derivative of the following functions: a. f(x) = (x² + 1)(x³ – 2x² – 1) f(x) = b. 2 +…

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Q: A function is given as x - 6y = 5– x. Calculate the derivative of y with respect to r with two…

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Q: 2. Find the derivative of a function at a certain number using the formula. f(x) – f(xo) f'(x) = lim…

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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: Solve for the 4th derivative of function K K= x3Cos√x

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Q: Find the derivative of the following function with respect to x. /5x + 8 1 – 9 cos (4.x) - h (x) =…

A: The given function is:hx=5x+8 1-9cos4x3x2+10x4 This function can be written as: hx=5x+812…

Q: Find the first derivative of y with respect to x (y') of the given function using rules for…

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Q: 1) Find the derivative of the given function with respects to e 3 tan 6 In 3 y

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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: 2. Calculate the derivative of the following. B. Y= tan(x+ 5r-2) C. y=- (E +24) :(2-)

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Q: Find the first derivative of y with respect to x for the following :functions b- y = In( 3x .e-*)

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Q: 4. Find the derivatives with respect to x of the function 2 – 3x^2. 5. Differentiate ax² + b to the…

A: Using derivative of composite function.

Q: 1. Find the derivative of the following function: f(x) : (x² sin- if x ± 0 if x = 0

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Q: 1. Use the definition of the derivative to find the derivative of the following functions. 1 (b)…

A: use definition of derivative to find the derivative of the following functions a) fx=x+2 it is known…

Q: 4. Find the first derivative of the given function using the Rules of Differentiation: a. h(x) = X-…

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Q: nd the derivative of the following function with respect to x. V5x + 8 V1– 9 cos (4x) Vx² + 10x h…

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Q: 1. Find the derivative function for the following using the power rule: a) f(x) = x¹² b) y = 8x³ -…

A: Since the student has posted many sub-parts of the question and does not mention any specific part,…

Q: 2. Find the derivative of the following functions: (5x+ 1)'(x + 3)5 cos°(x) sin°(x) (a.) f(x) = .…

A: Given f(x)=5x+77x2+35cos2x sin3x3   As per our guidelines we are supposed to answer only first…

Q: Q1 Find the derivative of the function : f(x)=ex+1-2x³ at x=1.5,with h=0.1, using the central…

A: Numerical differentiation is nothing but to approximate the changing in the function value with…

Q: 01) Find the derivative of the following: x2 + 3 y (x – 1)3 + (x + 1)³ 2x2 + tan x f(x) : %3D x2 sec…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Find the second derivative of the following function at x = 2 y = (x +) 2 G+x)

A: Given function is y=x+1x2

Q: Solve for the derivative of the given functions using the Chain Rule formula. Suppose f(x) =…

A: Given: f(x)=(sin(2x)+1)7f'π2=?f'(π)=?(a)  f'(x)=?(b)  which is bigger in between f'(π2) and f'(π)

Q: Given the function z=(x2+1)(x−1). Find the value of its derivative at x=−1.

A: The given function is z=x2+1x-1

Q: Find the derivative of the following function with respect to x. h (x) =√(5x + 8) 3√(1-9COS(4X))/…

A: hx=5x+81-9cos4x3x2+10x4

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). h(x)=…

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

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Q: A2) Find the derivative of the following functions 2² + 4 (a). f(x) = 1² – 4 (b). f(x) = 2 tan '(x)…

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

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Q: 1. Apply the different rules for differentiation in finding the first derivative of the following…

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Q: Find the derivative with respect to x if f(x) = e 2x %3D The derivative with respect to x if f(x) =…

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Q: 4. Find the second derivative of each of the following and determine based on your results if the…

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Q: A2) Find the derivative of the following functions: x2 + 2 (a). f(x) x2 – 2 (b). f(x) = 2 tan-1(x) –…

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Q: 19.What is the derivative with respect to a of f(x) = 4-32 3z+2 4x-3

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Q: Find the derivative of the following functions without skipping steps w = tan (y) + cos (3z) -…

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

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Q: 16. Find the derivative of the following function. 6x f(x) = 5e 7x f'(x) =

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Q: x² sin(x) 8. k(x) = cos( x

A: The given function is kx=x2sinxcosx

Q: 3. Calculate the derivative of the following functions. DO NOT SIMPLIFY a. f(x) = tan (In(x) +x² –…

A: Trigonometris identities d/dx(tanx)=sec2x d/dx(in(x))=1/x d/dx(xn)=nxn-1 d/dx(sinh(x))=coshx…

Q: The derivative of y = e sin(x) sin2(x) can be written as y cos(x)g(x), Determine the value of g(x)…

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Q: Find the derivative of the following function with respect to x. V5x + 8 V1– 9 cos (4x) - h (x) =…

A: This question is taken from the derivative in which we have to find the derivative of the given…

Q: A2) Find the derivative of the following functions: x² + 4 (a). f(x) x2 - 4 (b). f(x) = 2 tan-'(x) –…

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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: Q1/ Find the derivative of the following functions: where x>0,x #1 a- y = x** x√√2x+1 b- y = exsin…

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Q: Q1: Find the 4th derivative of the following function. F(x) = sin x cos x %3D

A: To find the derivative of the given function

Q: 2. Find the derivative of h with respect to u if h = n²u

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Q: 1. Find the derivatives of the following functions: a. g(x) = x ÷ sin(x). 2. Find the derivative…

A: Find the derivatives of the following functions:  a. g(x) = x ÷ sin(x). 2. Find the derivative of…

Q: 1.) f(x) = (2x + 1)(3x – 2)

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