Write a derivative formula for the function. f(x) = 8x√(7x+2) +91

Q: 4x3 - 7x +8 Find the derivative of h (x)

A: (a) Given- hx=4x3-7x+8x To find- The derivative of the above function. Identity Used- Using the…

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

A: Given function is fx=xx-1

Q: II. Find the derivative of the following functions. 2. f(x) = -V5x* + 3x³ + 6x -9

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Q: Find the derivative of the function. 9(t) - t2 g'(t) »

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Q: Given f(3) = 4, f'(3) = –1, and g(3) = 6, g'(3) = -2, determine the derivative of ( g(x) when x = 3.

A: Given, fxgxf3=4, f'3=-1g3=6, g'3=-2

Q: find the derivative of the following functions

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

Q: f(x)=7x8−8x+3 Find the derivative of each of the given functions.

A: The sum rule of the differentiation states that, ddxf+g=ddxf+ddxg the power rule of the…

Q: Find the second derivative (y") of the following function step-by-step and simplify the final…

A: The given question has been solved in detail

Q: Using the definition of the derivative, compute f'(x) for the following functions. (a) f(r) = -3 (b)…

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Q: derivatives of the following functions.   a)      exp(3x2)

A: a) Given function is e3x2.

Q: Use the General Power Rule to find the derivative of the function. g(x) = v6- 7x

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Q: Using the definition of the derivative, find f'(x) for the following function. 4. f(x) = - x² + 8x -…

A: Given: f(x)=-x2+8x-15

Q: Given f(x) = -7x - 2, find f' (5) using the definition of a derivative. Provide your answer below:…

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Q: A1) Using the definition of derivative, find the derivative of f(x) = x² + 4x + 4.

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Q: Find the derivative of the function. 8x-9 5x +6 The derivative is y=||

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Q: vative is (x-4x) vative is 5x4 (D ( ivative is 5x (x? - 4x)

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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: Sol :-   So, the given data is ,    f (x) =  x3 + 9x , c =5   f'(5) = ?Alternative form of…

Q: Attempt in Progress Find the derivative of the function given below. f (x) = 5xe"

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Q: Find the derivative of the function. q=5√x³+3x q' =

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Q: Find the derivative of the following: 3+ 5x g(x) 24

A: To find the derivative of the given function we use division rule of differentiation and some…

Q: a) Determine the derivative of the function f(x) = (x + 1)³(3x – 5)*. Write your answer in…

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Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: Find the derivative f'(x) = f(x) = of the function. 2 - 58 - x x²-6

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Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: Given g(x) = In(7x+x), the derivative g (x) is

A: Given,           gx=ln7x2+x

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

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

Q: Find the domain and the derivative of the following function. g(x) = √1-(√2-(√(3-x)))

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Q: Given g(x) = In(10x° + x), the derivative g (x) is %3D

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Q: Q2/ Find the derivative of the function f(x) V4-x2 by definition

A: The derivative of a function f(x) with respect to x is given by limh→0fx+h-fxh. The given function…

Q: Find the derivative of the following function. f(x) — е бх + 7 In (7x - 9) f'(x) = (Simplify your…

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Q: Find the derivative of the function. x²- f(x) x? 4x + 7 .2.

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Q: Using the appropriate rule, find the derivative of each of the following function answers, where…

A: Explanation and solutions is given below.....

Q: 1 B2 (a): Find the derivative of the 2x + 1 function y and simplify the answer: 6x – 9

A: Quotient rule for differentiation states that f(x)g(x)'=f'(x)g(x)-f(x)g'(x)(g(x))2. Use the property…

Q: Find the derivative of the function. (Simplify your answer completely.) f(x) = In(x7 - 7)7

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Q: Give the derivative formula for the function g(x) 2.8x12 = (x), 6

A: The given functions are,

Q: 3 (x),4 =(x)4 8x+3 Find the derivative of the following function.

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Q: Find the derivative f'(x)=? of the function f(x) = 2x5 +√√x -+ 2x - 3

A: SOLUTION-

Q: g(x) = = 2x – 4x2 + 13

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Q: find the deriVatives of the functions. (a) f(火)こメ?+ 5x+. (a) f(x)=

A: as per our company guidelines we are supposed to answer only first question. Kindly repost other…

Q: Using the properties of derivatives, solve for f"(k lа.

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Q: Write the formula for the derivative of the function 7x215x +9 k(x) (Hint: Rewrite as three separate…

A: Given function is

Q: 3. Determine the derivative of each function using the most appropriate notation. (a) y = x³ – 4x² +…

A: As per our guidelines we are supposed to answer only one question at a time. So I am solving the…

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: F. Find the derivative of each quotient 3x 4x+9 a. h(x) b. h(x) = c. h(x) с. X-10 3x-1 2x-4x

A: The derivative gives the rate of change of some variable with respect to other quantity. If there is…

Q: 4. k(x) = (4x³ – 7x² + 5)/4e*

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Q: Using the mathematical definition of derivative, find the derivative of the following functions.…

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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: Use the definition of derivatives using this formula f(x + h) – f(x) 2х - 3. 2. Find the derivative…

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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: