QUESTION 3 Find the derivative for each of the following functions x? (а): x(х - 1) x² – 2x+1 - (b) z = х+1 (c) z = x(3x' – 2x² +6x – 7) (d) y = -6x% (e) y = 3x² +15x – 5 %3D

Q: 2. Find the derivative of y = 2 1 1- x² + arcsin x 2

A: As per our guidelines, I can answer only one question and maximum three subparts of a question.…

Q: Question 9 Find the simplified form of the derivative of y = Š Oy= 3 csc 3 CSC (3x) 3 csc 3z = cot…

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Q: Use..U. substitution. to. find each antiderivative. -48x 5-3x4 dx -3-

A: *to find:- integral value of the given function using substitution method.

Q: 1 5 Find the derivative of y =x° + 3 Give your answer with positive exponents.

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Q: 9. [Essay] Find the derivative of y = 3x + 1). За* (x? — Зх + 1). Зах

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Q: QUESTION 15 The second derivative of the function y= 3x4-20x2, at x = -5 (round your answer to…

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Q: Question 1 Find the derivative and simplify y cotVt-1 Oy-- Oy= - 2tt-1 1 2t/t-1

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Q: Question 13: Find the derivative of: y = 7e8x ln(3-9x6)

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Q: Question 9 Find the derivative of (3x+4)3 (-3x 2)4 h(x) = You should leave your answer in factored…

A: Given function isThe given function is a rational expression and the derivative can be obtained…

Q: Find the derivative of the function. 4 = 3 + 8cos x

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Q: Question 27 Determine the second derivative of 6 y - xy2= 1 A y " = 2y³ ( 6 – 2 x y ) -2 ( 2 – x y (…

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Q: Question 7 [6;4] (a) Find the derivative of the function y = 2x² + 12 when x = 2.

A: Answer

Q: Question 21 Given the function f(x) = x to the 3rd power -6x + 2, find the value of the first of the…

A: Differentiate wrt x

Q: Activity 2 Find the first derivative of the following: 1. y = ln (12x) 2. y = sin-¹ (x² + 3) 3. y…

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Q: 1. Y = In x In x 2. Y =

A: To find the derivative of the given questions 1) y=2√x/(lnx) 2) y=lnx/x²

Q: (2² + 3) (3z – 4)* Use logarithmic differentiation to find the derivative of y =

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Q: Find the derivatives of the functions y = (3 + cos3 3x)-1/3

A: Given that, y=3+cos33x-13

Q: 1. Find the derivative of the curve given by the equation: 2(x - y) = 3+ siny

A: As per our guideline we are supposed to answer only one question you can repost other questions in…

Q: Question 2. Find the derivative of the given functions: a) y = e5 log, (4x® + e2=) In(x² + 4)ez b) y…

A: We know that u·v' = u·v' + v·u' uv' = v·u'-u·v'v2

Q: 1. Explain two different ways to solve for the derivative of s(0) = 200sin cos

A: Topic = Derivative

Q: ds 1+csct 3. Find the derivative of the function s= dt 1-csc

A: according to guideline we should able to do only one question at a time

Q: Question 1. Identify the correct description for the formula Su (s) \approx \dfrac{u(s+h)- 2 u(s) +…

A: Step:-1 Note:- Central finite difference formula for second derivative is f''x≈fx+h-2fx+fx-hh2 with…

Q: Question 5 Find the derivative: y = (3x 2x) Va5 2x + 2 - - dy 27-14x5-30x2+36x-8 2Va5-2x+2 (3x-2)…

A: The given function is  y=(3x2-2x) sqrt(x5-2x+2).

Q: Note, derivative of a logarithmic function f(x) has three parts and is given here: f ' (x) = 1/ln…

A: We know that loga u(x) can be written as : logau(x) = (ln u(x)) / (ln a) = p(x)

Q: QUESTION 5 Find the derivative. y%3= + 8 sec x Oy'-2- 8 sec x tan x x2 Oy'- - 7. +8 sec x tan x Oy'=…

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Q: Question 2 Let a be a real valued constant. Find the derivative with respect to x: Y = 4ae 1-4ae4z O…

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Q: 3.) у %3D е2х-3

A: Derivative of a function: The derivative of a function y=f(x) .of a variable x is a measure of the…

Q: Find the derivative of the function.

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Q: QUESTION 4 Find the derivative. y =x 5/6 Os,5/6 x1/6 1/5 Ox-1/6

A: Note that  d/dx (x^n) = nx^(n-1)

Q: 4 a. Use implicit differentiation to find the derivative dy/dx of the given function. b. Find the…

A: The objective is to find the derivative and slope at the point .

Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

Q: Activity 1: Find the derivative of y with respect to x. 1. y = 3x - 5 2. y = 6 3. y = x2 + 4x 4. y =…

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

Q: 5. Find derivative y' 4=x²(nx %3D

A: Given:  y=x2lnx Product rule: When y=u(x)v(x) dydx=dudxv+udvdx

Q: 3. Find all possible functions with the given derivative y' =- 2

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Q: 3x-4 1. Y= Arctan 4

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Q: Question 15 Use logarithmic differentiation to find the derivative ofy. 3 (3x + y = 1)6x+2)2 (x4…

A: Consider the following equation: y=3x+1x+22x4+5x+73 Take logarithm on both sides of the above…

Q: The graph of a particular function passes through the point (3,4). Its first derivative is 2yy' + 2x…

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Q: Question 16 O [CLO-2] Find the derivative of f(x)=tan -¹ (√2x) O √√2x+√√88² (1+√√2x)² 1 √√√2x+√√2x³

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Q: 2 a) FIND BY IMPLICIT DIFFERENTIATION: x*y³ = -8 dy dx b) EVALUATE THE DERIVATIVE FROM PART a AT THE…

A: Given: x4y3=-8

Q: 2 a) FIND BY IMPLICIT DIFFERENTIATION: x*y³ = -8 %3D dx b) EVALUATE THE DERIVATIVE FROM PART a AT…

A: Given: x4y3=-8

Q: Problem 2 Find dy/dx of y = x* at the point (2,4) by following a similar procedure: 1. Apply In() to…

A: Applying “ln” on both sides of equation and simplifying.

Q: QUESTION 30 · 0/1 POINTS Find the derivative of y = (2-)". That's not right. -2e*In(2-x)x + e* In(2…

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Q: 32. y t + e3t

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Q: 3. Find derivative 4 =xe?

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Q: Question 12 VI² – 1 What is the derivative of y O y = 1 1 - 1 O y' %3| 22-1 O y' =

A: Given query is to find the derivative of the expression.

Q: Example: 1. Find the derivative with respect to x for the following. a. y= e3x2-1 b. f(x) = ee c. y…

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Q: Question 17 * - 2 17. Find the derivative of y = ln 2x +5 hint : In A = In A – In B В 3x 2 x' -2…

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Q: Question 12 Find the 2nd derivative (y") of y=√x ln x In 2

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Q: 1. Find derivative y' 3x2+4 y=5e

A: This question is related to deivative.

Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: