т — 1 Consider the function f(x) . Compute each of the following. Simplify your answer and use exact 3 values. f' (æ) = f'"(x) = f'''(x) =

Q: 1: Using the definition, calculate the derivative of the following function. S(x)=4-x²

A: Topic:- derivatives

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: 03/05/2021 Worksheet MTH 1410 2. Suppose f(x) is a differentiable function and (x2 + 1)f (x) – 20…

A: Please see the explanation below

Q: Find the derivative of the composite natural exponential functions 1. f(x) = In( 2. g(x) = In(v³ +1)…

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

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Q: 13 Find the derivative of the function. Y = 2² + cos" (xx) a

A: Solution:- Given function is  y= a4+cos4(x)           ----------(1) Here, the variable is 'x' and…

Q: 5х 6a) Find the derivative using logarithmic differentiation: y = (tan x )x

A: The function is given as y=tanx5x Taking log to the both sides logy=logtanx5xlogy=5xlogtanx…

Q: following

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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: 1. Find the derivative of the following functions at an arbitrary point x: 8 a. f(x) = x3/2 b. f(x)…

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Q: Differentiate the following function.   y = ln (1/e1x)

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

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Q: Q3\ Find the derivative of the following f(x) = %3D x-1

A: Derivative.

Q: ) f(t) = t2-2

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Q: x²Sin(x) y = In 2x + 1 9.

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Q: Find the derivative of the function y = In(8 – e-a f'(x) =

A: We have to find derivative

Q: 1. Find the derivative of the following: (Simplify your final answers.) f(x) = ev3(cos²zx) C.

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Q: Q2/ Find the derivative of the function f(x) = V3x +1 by definition %3D

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Q: 1. • Let a be an unknown constant and 1 f(x) = VT + +a. Find the derivative of f(r) with respect to…

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Q: 3. Find the derivative of the following using logarithmic differentiation: 2x a. y = (2x – 1)(x + 1)…

A: To find the derivative by using logarithmic differentiation first take  the  logarithm on  both…

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: 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: 1-Find the first derivative of the following function f( x) 5 cos (10x) + x' – 2x – 6x+ 10 For x=2…

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Q: h(x) = (cos x)(4x²– 3)

A: Explanation of the answer is as follows

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: 5e* Find the derivative of f (x) Зех+1

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Q: Find the derivative of the function f (x) = /e* – In(x) 12 – 1/x) O (ex12 – 1) O (e2 – 1/x) e? -x)

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Q: Find exact value(s) for x such that 3e" - e' = 0.

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Q: Solve for the derivative of the given functions using the Chain Rule formula. a.) Let f(x) = √(x2 +…

A: Solution

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: (4) Compute the derivatives of the following functions: (a) f(x) = 4x sin-1r

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Q: 4) Find the derivative of each function. a. f (x) = In(x² – 4) In e c. f (x) = b. f (x) = x² ln x

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Q: 1. у %3D 4Сot (3 — 2х) |

A: Pls find the solution.

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

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Q: Find the derivative of the function f(x) = Jet – In(/x) (e+12 – 1) O (e:/2 – 1/x)

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Q: 5. a) Find the first order derivative of the following function. y x° In x

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: 32. Differentiate the following function with respect to y. e + 3º = 1

A: This is a simple differentiation problem

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

A: Given, f(x)=sin(2x)+17

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 first derivative of the following expression: f(x) = (x2 + 1)sin a

A: take derivative  use the exponent rule

Q: 11.Find the derivative of the functions: a) f(x) = In(9x²2 – 3x) b) g(x) = In(ln x)

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Q: Derive the following formula for approximating the derivative f": 1 f"(x) ≈ (-f(x+2h) + 16f (x + h)…

A: Given: The formula is f'(x)≈112h -f(x+2h)+8f(x+h)-8f(x-h)+f(x-2h). To prove: The given formula. To…

Q: 4. Find the second-order derivative of the following function: f(z) = log, cos z + In %3D

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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 derivatives of the following functions. a) y = (log2 x)3¬*

A: Given information: The function is y=log2x3-x. Calculation: Find the derivative of the function. Use…

Q: As discussed in class, #(2") = nr"-1 (the so-called Power Rule). Apply the Power Rule, combined to…

A: our objective is to find the derivative in the question a) applying power rule.