Find the following using the table below. 1 2 3 4 f(x) f'(x) g(x) g'(x) 3 2 4 1 4 1 4 3 2 3 1 4 2 if h(x) = f(g(x)) then h'(4) 3. 1,

Q: 20. The fourth derivative of y = Jx -1 is 8 D.-은(x-1) 2 16 15 A. -(x – 1) В.- С.- 8. (X - 16 M| 00

A: This question is related to differentiation, we will use basic differention rules and results to…

Q: Find the derivative of function f given by S(1) = =! X-1 3 x+3'

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

A: Given

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

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Q: 1. Find the derivative of each of the following functions using chain rule: y=3x* (x* -2) a)

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Q: What is the first derivative of the following function: f(x) = (x³ + 2)4 O f'(x) = 12x²(x³ + 2)³ O…

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Q: • Find f (x) of f(x)=by using the definition of the х-1 derivative. • 1- Find if y=3t-4 and t = Vx +…

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Q: 1. Find the derivative of f(x)= x(a+1), given a is a constant.

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Q: 4) Calculate the first derivative of the following functions: 1. f(x) = In 2x2+1° 2. f(x) =…

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Q: question 32

A: Given,

Q: 1) Find First. three derivative of F(x) at x.2.2 f(x) : 16 40 S2 -2 Ans: f= 19.5 f" = 13.2 f"- 6.

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: Question 8 Find the derivative -[f (x)] dx Anmospace support = 3 In (In (x²-3x + 5)²) 3(2x - 3)…

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Q: Find the second derivative [ f"(x)] of the given function: f(x) = eln Vx²+2 %3D (x2 + 2)) x(x² + 2)-…

A: Given problem:- Find the second derivative [f''(x)] of the given function:   f(x) = eln√(x^2+2)

Q: Suppose that f'(0) = 2. Find the derivative of the function (e2z – 2x)f(3x) at x = 0.

A: Given that f'(0)=2.Our Aim is to find the derivative of the function (e2x-2x)f(3x)-(i) at x=0.

Q: Find the derivative of f(x)=x^2 e^2.5x

A: Given problem:- Find the derivative of f(x)=x2 e2.5x

Q: 1. Compute the first, second, and third derivative of a. f(x) = x² In(x+ 1)

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Q: 5. Suppose f(3) = -2, g(3) = 5, h(3) = –1, f'(3) = -4, g'(3) = 3, and h'(3) 2. Find the value of the…

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Q: What is the first derivative of f (x) = ln n A)? 3x²+7x 5х Select the correct answer below: бх-7 O…

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

Q: 6. Determine the derivative of the function with respect to x. y = x2 – V2x +1

A: Solve the given problem.

Q: 2. Let f(x) = /1 – x² . Find f(8) (0), i.e., the eighth derivative of ƒ evaluated at the point 0.

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 1. Find the derivative of the function f (x) = e2x + 5* + x3

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Q: 3. Find the first derivative of k(x) if k(x) = e(4x – 3)

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Q: 1 Find the derivative of the following function: f(x) = e2X(3x² - vx) 2e2X(6x - 1/x) O e'(6x -…

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Q: Question (3) Estimate the first and second derivatives of f(x) =-0.1x 4 - 0.15x 3 - 0.5x 2-0.25x+…

A: Solution:Estimate the firts and second derivative of fx=-0.1x4-0.15x3-0.5x2-0.25x+1.2at x=0.5  and…

Q: 3 Find the first derivative of f (x) = 3x e

A: Given that : f(x)= x3 / e3x. Find the first derivative of this function. We know that d(xn)/dx =…

Q: find the most general anti derivative  f(x) = e^2

A: A function F(x) is called an antiderivative of f(x) if F’(x) = f(x).   The function f(x) is the…

Q: 1 6. Find the derivative of f(x)= 1 at the point 8, Vx+1

A: Given

Q: 1 Find the derivative of g(x) = Vx-1 Find f'(x) and f"(x) of f(x) = 11x³.

A: Here we have to find the derivatives of the given function.

Q: 2 Compute the derivative f'(x) of the logistic sigmoi 1 f (x) : 1+ exp(-x)

A: We have to find

Q: 1. Find the anti-derivative of the following. e" (x + 1) dx x2

A: From the given information. Anti-derivative has to be calculated to the following expression.

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: 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 linearizationsof the following functions at x = 0. ln (1 + x)

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Q: 1. Find the derivative of the following f) y = (2x − 1) ( x³ − x) + √x[2(x³ − x) + (2x − 1)(3x² −…

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Q: Find the derivative of f (a) = e" (x² + 2).

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Q: What is the first derivative with respect to x of the function g(x) = 3/9x O 1/2 9.

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Q: 2. Find derivative of given function defined as follows 2x y = e = ²

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Q: 1. Use the definition of derivative to find f'(1) 2r2 b) f(x) = Vx

A: Derivative of the function using definition

Q: 2. Find the derivative of (a) f(x) = x* + 4x 2 + 4e" (b) f(x) = 2 tan (x) – 6"

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Q: The equation of the tangent line for the graph of F(x)= Ln (f+4)df at x=2 is O y-Ln(68)(x-2) O…

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Q: (a) f(x) = (3x² – 5x + 8)35 (b) f(x) = cos(27.x)

A: First I have written the chain rule and then using it find the derivative of given functions.Also…

Q: Find the derivative of f(x)=

A: We use the quotient rule of logarithm to simplify the expression

Q: 6.) Find the derivative of the fonction 2 8- g'cx) =

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Q: 10 The derivative of the function f(x) = x7 + - 10 726 + (r³) 10 71° + (2) 1 10 7x + 10 10 726 (z²)…

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Q: Find the second derivative f"(x) for f(x) = e(#+2)*.

A: First calculate the first derivative for f(x) using the chain rule.…

Q: Find the anti-derivative of g'(x)= log1/2(X)

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Q: Зх +1 a) y =- 1 b) g(x)= Jx -

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Q: 1.) f(x) = (2x + 1)(3x – 2)

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Q: Find the derivative of the following functions by applying "Delta Metho Show your complete solution.…

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Q: Determine the value of the derivative function for Ax) = (x + x)(x- 2) at x = 2. %3D A 6 в О с 5 D1

A:

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: