3-2x Find the derivative of y = 3+2x

Q: Using the definition of the derivative, find ƒ′(x) . Then find ƒ′(−2) , ƒ′(0) , and ƒ′(3)  when the…

A: Given that, f(x) = 3x - 7 Then we get, f'x=limh→0fx+h-fxh

Q: 5. y- Br*-+습

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Q: Find the derivative of the function. 7x-4 y3D y 6x+1 The derivative is y' =

A: Given y=7x-46x+1We know that…

Q: Find the derivative of the equation √(xy) = x-2y.

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

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

Q: 2х - 3 y = 3x +4 The derivative is y'

A: Please refer the attached image for complete solution.

Q: Find the derivative y = (1/√x)+ (1/x^3)

A: Consider the given function as y=1x+1x3

Q: x- 1. a. Find the derivative of y =

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Q: Find the derivative. y = 5^3x-1

A: Given y=53x-1 dydx=ddx(53x-1)

Q: 3x - 7x- 4 Find the derivative of y= .2

A: The objective of the question is derivative the given function.

Q: 3x +2x-4 derivative of the function of ƒ(x)= %3D 7x² -9x+2

A: f'(x) = (- 41x² + 68x - 32)/(7x² - 9x + 2)²  The detailed solution is as follows below:

Q: -3x²+tan(3x-5) Explain the steps you would take to find the derivative of f(x) = (e

A: Our Aim is to find the derivative of f(x)=12e-3x2+tan3x-5 -(i)

Q: 6(x)^2/(X^1/2) find the derivative

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Find the derivative of the function. y =  x2 − 16 (x + 4)

A: Given, y=x2-16x+4

Q: 4sinx-3 2. Find the first derivative of y=150xcos (10x)+ 9In(V16-x)

A: Since you have asked multiple questions. So, we are solving only 1 for you. If you want more…

Q: Find the derivative of the function. 5х-7 y = 2x + 1 The derivative is y' =

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Q: 6. f(x) = 3-*e*

A: given: f(x)=3-xex

Q: f(x)=(8x-1)(x2+4x+7)(x3-5) find the derivatives

A: fx=8x-1x2+4x+7x3-5 On simplification, we get…

Q: 3x2+7 Let h( x Calculate the derivative and simplify. 4+5x

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Q: Use the Chain Rule to find the derivative of the function. y = (2x? - 9)

A: Answer and explanation is given below...

Q: Find the derivative of the function. y = 2e4x2

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Q: Find the derivative of the function. y = x2ex − 2xex + 4ex

A: Given function is Differentiating both sides with respect to x, we get

Q: Using the definition of the derivative, find ƒ′(x) . Then find ƒ′(−2) , ƒ′(0) , and ƒ′(3) when the…

A: Given function: fx=-x2+2x-3 Find the derivative of f(x) The formula for f'(x) is given as…

Q: (3x+5) x* ² + 7 Find the derivative of v(x) = In x- 25

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Q: 3x +1 Find the derivative of the function y and simplify the answer= 7x - 2

A: it will be solved by uvrule which is:   let y=uv then dydx=vdudx-udvdxv2

Q: hwo to find second derivative of 4e^3x - 9e^2x

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Q: Determine the second derivative of the implicit function  x2+2xy+3y2=2

A: x2+2xy+3y2=2 Differentiating with respect to x, we get…

Q: Find the derivative of the function. 7x-5 6x+ 1 The derivative is y'= .

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Q: x2 -4 b) By use derivative sketch the function f(x) %3D 2x

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Q: Find the 3rd derivative of y = x-1)² 6 %3D

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Q: Find the derivative of the function. y = 6ex − 4x

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Q: %3D 3. Find the derivative of f (x) = Vx(x?-8+)

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Q: -3 Find the derivative of the function f (x) = (2 – x*)

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Q: 음고+ 음 + 2V- e The first derivative of y = 3x5 is %3D

A: Recall: dxndx=nxn-1 dc1f(x)±c2g(x)dx=c1df(x)dx±c2d[g(x)]dx ; where c1 and c2 are constants.…

Q: 7x +5 5x +1 Evaluate the derivative of y = In where x = 3.25.

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Q: - 5 2x +1 Calculate the derivative function of g(x) Write your result as a single fraction. g'(x) ||

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Q: 5x – 2 Find the second derivative of f(x) =x3/2 -1/4,

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Q: 2. Find the derivative of f(x) 3. Calculate the derivative of f(x) 2a-4+-3

A: Topic:- derivatives

Q: termine the derivative of the function g(x) In x+ 10 %3D r- 10

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Q: Find the third derivative. y = 6/x

A: y=6x Will use the power formula for derivative ddx(xn)=nxn-1 Here, the function can be written as:…

Q: 2z - 8z Use the chain rule to find the derivative of f(x) = 3e f'(x) =

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Q: 5x f(x) = 2) Find the first derivative given that 2x+3

A: ddx(5x2x+3)=5.ddxx2x+3(uv)'=u'v-v'uv2=5.ddx(x).2x+3-x.ddx(2x+3)2x+32=5(2x+3-2.ddx(x)+ddx(3)x22x+32x+…

Q: 3x-8 What is the derivative of ? Do not simplify your answer. 4 -x2

A: We have to find the derivative of the expression: 3x2-84-x2 Let y=3x2-84-x2 In this case we will use…

Q: x² +1 Find the second derivative of the function, f(x)= x² -4 %3D

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Q: -6x 11x-5 + 22x-1 +5' — 6х 4 — 13х 3 2. (7 points) Find the derivative of h(x) = Do NOT simplify.

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Q: (x² + 4)(x – 2)² Vx +7 g(x) = In %3D Find the derivative of this function, g'(x).

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Q: -2(x^3)(y^2)=3x- 4 find the derivative of the function

A: Given,           The function is -2x3y2=3x-4 .

Q: x -6x-1 3 x2 Find the derivative of the function f(x) = at the point -1.

A: Topic = Derivative

Q: e2x 2. Find the derivative of y = - (x² + 1)°(1 (1+ sin x)5

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: