2. Find the derivative and the analytic domain of f(2) = 1+ %3D 22+1

Q: -What is the derivative of (x + 1)2 ? a) x? + 2 b) x c) x d) 2x+2

A: We will use chain rule of derivative

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

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Q: Find the derivative of function defined as follows. h(x) = x-1/2 - 14x-3/2

A: Given:          h(x)=x−12−14x−32

Q: Q1) The dervative of the function f(x)= |x+2, using the definition of derivative is 1 b)- a) x+2 x+2

A:

Q: Find the derivative of the function f(z) = (3x +1)In(4x+3) %3D and then evaluate it at x = 0. f' (0)…

A: Given : f(x)=(3x+1)ln(4x+3)

Q: Find the derivative of function defined as follows.

A:

Q: 8. Suppose the derivative of the function y = f(x) is y' = (x – 1)*(x – 2)(x – 4). At what points,…

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Q: Suppose 8 (x): x(+). what is the derivative of g with respect to x? = sec 1 A8 (x) = 2 B 8'(x)%D…

A: Derivative of function

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

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

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Q: Find the derivative of y = f(x) x2 +1

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Q: If f' is the derivative of f with | f'(x) dx = 10 and f(2) = 4, then f(1) :

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Q: Find the critical points of the following function. f(x) = 5x? - 3x – 1 What is the derivative of…

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Q: Find the derivative of the function f(x)=(x2+1)^3(3x+4)^4 at x=−1

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Q: Find the derivative of the function g(x) g'(x) = ex + 3xe (2+3x)² = x| X et 2 + 3x

A:

Q: Compute the derivative of the following function. 1(x) = 3e 3x f'X)%3D

A: Topic - differentiation

Q: Let y=x+∣∣x2−8∣∣. Find the derivative of the function at x=3.

A: Given that y=x+x2-8.

Q: Find f'(a) using the definition of the derivative at a point for: f(x). 1 = √x at a = 4.

A: Find derivative using  definition of f(x)=1x at a=4

Q: FIND THE DERIVATIVE OF THE GIVEN 4.) f(x) = sec x ニ 5.) y= In「3-2メ |- 3x 6.) y= Inle-*+ xe-*)

A: 4. To find: The derivative of the function. Given: The function is secx. Calculation: Use the chain…

Q: a) Calculate the derivative of f Cx) by first expanding and Simplifyıng the function fCx)=(2-3x) 2

A: Given,           fx=2-3x2

Q: Find the value of the derivative (if it exists) at each indicated extremum.       f(x) = −3x√(x + 1)

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Q: Compute the derivative of the given function. f(x)=−4x^π+4.1x^1.3+π^1.3

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Q: 1) Use the definition of the derivative to find f'(x) f(x) = (4x + 1)(3 – 7x³) Step 1: Step 2: Step…

A: Topic:- function and it's Derivatives

Q: Compute the derivative function f'(x) algebraically. f(x) = 8x – 5 %3D f'(x) =

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: Find the derivative of function defined as follows. h(x) = (x2 - 1)3

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Q: Find the derivative of the function. F(x) = In(4 – x®) %3D f'(x) %D

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Q: Compute for the derivative of the function below for x = 1. f(x) = 2xe

A: Solution: dydxx=1=2xex

Q: F(x)=In(52x+n • (x+2) ) %3D

A: Find the derivative of the function

Q: -1

A: Integration of given function

Q: Use the definition of the derivative to find: f(x)= 1/x^3 g(z)= z^4 - 8z^2

A: Disclaimer:  “Since you have asked multiple question, we will solve the first question for you. If…

Q: The derivative of y x²+1 is х2—1 =

A:

Q: Find the derivative of the function. 4 f(x) x In(x) f'(x) %D

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Q: 2x f{X) = 1+ X

A: Given: f(x)=2x1+x

Q: Find the derivatives of the functions k(x) = x2 sec (1/x)

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Q: 4) Find the following derivatives using derivative rules, not the definition. a) f(x) =x -3F+5

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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: If f (x) = In (4a + 1), then its third derivative is f(3) (æ) = %3D

A: In this question, concept of derivative is applied. Derivative The derivative expresses the rate of…

Q: 4 Find the derivative of the function f(x) = %3D x +7 Provide your answer below: f'(x) =

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

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: Find the value of the derivative (if it exists) at each indicated extremum.         g(x) = x + 4/x2

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Q: 1 4. Use the definition of the derivative to compute f'(x) given f(x) = 2x 3

A: Given,          The function is fx=12x-3 .

Q: Compute the derivative function f' (x) algebraically. f (x) = -5x3 +7 O f' (x) = -15x O f' (x) =…

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

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Q: ind the derivative of h(x) = %3D 4x2+2

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Q: Find the higher order derivatives for f (x)=x^5, what is f^(6) (x)?

A: According to the given information f(x) = x5 and it is needed to calculate f6(x).Since, if p(x) is a…

Q: Find the derivative of the function. g(x) = [*- 1 -dt -5 2+4 10 а. 841 b. 2x (x²+ 4)² 1 С. x²+4

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Q: 2. Consider the function f(x) = e¯*. -2x (a) Show that the derivative is f'(x) = %3D

A: