Consider the following function. f(x) = |x – 9| Find the derivative from the left at x = 9. If it does not exist, enter NONE. Find the derivative from the right at x = 9. If it does not exist, enter NONE.

Q: Compute for the derivative of the function below for x = 1, b = 2, and c = 3. f(x) = 72 - 36 3…

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Q: Find the derivative of the function g(x) = 3arccos(x/2)

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Q: Evaluate the derivative of the following functions at the given point  ƒ(r) =π r2; a = 3

A: We first find f'(r) using the exponent rule

Q: Find the derivative of the following function by first expanding the expression f(x) = (6x + 1) (5x2…

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

A: The given function is,

Q: Use the definition of the derivative to find the derivative of the following functions. 1. f(x) = 6

A: The derivative of a function y=f(x) is given by f'x=limh→0fx+h-fxh. The given function is fx=6.

Q: find the derivative of the following functions

A: Consider the function  g(x)=6x−2xex

Q: Use the formal definition to find the derivative of g(x)=√6x at x = 3. Find g'(x) for the given…

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Q: Find the derivative of the following function. 3x +8 h(x)%D xf +9 h'(x) =|

A: Derivatives

Q: Find the derivative of the following function F(x)=(from x^3 to x^4)∫(2t−1)^3dt

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Q: f(x +h) – f(x) lim h f(x) = 3x2 – 10x + 6 1.

A: Given  The function are  1) fx=3x2-10x+6 5) fx=8x    Formula :- f'(x)=limh→0fx+h-fxh .

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: Evaluate the derivative of the following function.  ƒ1w2= w2 - tan-1w2

A: To determine:Derivative of function f(w)=w2-tan-1(w2)

Q: Consider the following function. 5x, f(x) = XS1 %3D 5x2, x > 1 Find the derivative from the left at…

A: The derivative from the left side of  x=1 is…

Q: 2х 5. f(x) = Зx2+1

A: Given function can be differentiated either using product rule of differentiation or the quotient…

Q: Use the definition of the derivative to determine the derivatives of the following functions.   a.…

A: Part a,Given,         fx=1x3

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

A: Given that y=x+x2-8.

Q: Q3\ Find the derivative of the following function by using the definition f(x) = X-1

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Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

A: Given information:

Q: Find the derivative of the following function. f(x) = eax+bx+1,

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Q: For each of the below functions, compute the derivative x2+3x-1 / tan(x)

A: We have  fx=x2+3x−1tanx Now Differentiate w.r.t "x"  Using Quotient Rule

Q: Find the derivative of the following functions using the increment method. *b. f(x) = 6- Зх 1 *а.…

A: The given function is fx=12-x We know the derivative of the function fx using increment method is…

Q: f (x) = D윽과+1

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Q: Find the derivative of the following functions using the increment method. *b. f(x) = 6 - Зх 1 *а.…

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Q: Find the derivative of the following functions.

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

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Q: Consider the following. x2 f(x) = x + 2 Find the derivative of the function. f'(x) = %3D

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Q: find the derivative of the following functions

A: Derivative of xn is nxn-1 for n≠0. Derivative of a constant is equal to 0. One property of…

Q: Consider the following function. f(x) = |x - 3| %3D Find the derivative from the left at x = 3. If…

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Q: Find ƒ‴ (x) , the third derivative of ƒ, and ƒ (4) (x) , the fourth derivative of f, for function.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: g. f(x)=(1–3x)°(x²-2)°

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Consider the following functions (on the given interval, if specified). Find the derivative of the…

A: Given information: f1x=x+2

Q: Find the derivatives of the following function f(x)  (√x -3x)(x+ 1/x)

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Q: Find the first derivative with respect to the domain variable for the following functions. 4. f(x) =…

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Q: Q1: Using the definition, calculate the derivative of the following function. f(x)=4-x

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Q: Consider the following function. f(x) = V36 – x² Find the derivative from the left at x = 6. If it…

A: using the first derivative definition of limit

Q: find the derivative of the given function F(x)=  x+1/x-1

A: The given function

Q: Find the derivative of the following function using the formula. f(x + h) – f(x) lim h-0 h f(x) =…

A: I am attaching image so that you understand each and every step.

Q: Find the derivative of the following functions: b. f(x) &-2) %3D (4-2x- x)2

A: Suppose fx & gx are differentiable functions. The product rule of differentiation is given by:…

Q: Find the derivative of the following function, 1 f(x) = e* + In(x). x² -

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Q: Find the derivative of the following function. x* +7 h(x) = 2x -7 h'(x) =

A: We differentiate  the above function.

Q: I. Find the derivative of the following functions. 5. f(x) = 5* x5

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Q: Consider the following function. f(x) = |x − 7| Find the derivative from the left at x = 7. If it…

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Q: Find the derivative of the following function by first simplifying the exp x2 - 64 g(x) = x-8 ....…

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Q: The following function is given: f(x) = x- 2x3 (a) What is the derivative of this function with…

A: THE EXPLANATION HAS BEEN GIVEN IN THE ATTACHED FILE.

Q: Consider the following function. (x) = |x - 1| Find the derivative from the left at x = 1. If It…

A: Given query is to find the derivative if the funvy for different points.

Q: Consider the function f(x) = x3 + 5 Compute the derivative. f'(x) =

A: we have to find derivative

Q: Find the derivative of the following function 1. f(x) = 5x' - 32x + e?

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Q: Use the alternative form of the derivative to find the derivative of the function below at x = c (if…

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Q: Consider the following function. f(x) = |x − 3|   Find the derivative from the left at x = 3.…

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Q: Use the definition of a derivative to the derivative of the following functions. x + 3 h(x) = 2х -1

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Q: Find the derivative of the following function. 8x +1 h(x) = X +7

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Q: Find the derivative of the following functions and simplify: a. g(x) = 3x5 - 2x2 + x-1 + π3 b.…

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Q: Consider the following function. f(x) = |x – 3| Find the derivative from the left at x = 3. If it…

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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: