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

Q: 1: Using the definition, calculate the derivative of the following function. S(x)=4-x²

A: Topic:- derivatives

Q: 1. Using the definition of derivative, find the derivative of the following functions: (a) y= xVx-2…

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Q: (a). Find the derivative of the following function. y=4 In x-n(x-8).

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

Q: f(x) = x2 - 3x + 5; x = 3/2, x = 2. Solve, a. Find the derivative of f at x. That is, find f′(x). b.…

A: Given function f(x)=x2-3x+5 and x=32,   x=2 To find: (a) f'(x) (b) the slope of the tangent line

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: 3. Find the derivative of g(r) = Do Not Simplify. +1

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Q: Find an equation of the tangent line to the graph of the function at the given point. f(x) = (1 −…

A: The equation of the function  f(x) = (1 − x)(x2 − 3)2

Q: Find the derivative of the function. g(x) = 6e√x g'(x) =

A: Given that g(x) = 6e^(√x) We have to find the derivative of the function.

Q: 1. Using the definition of derivative, find the derivative of the following functions: (a) y =xvx² –…

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Q: Find the derivative of the function. Simplify and express the answer using posi c(x) = 8x x3 + c'(x)…

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Q: a. Determine the derivative of k(x) = (-2x* + 3x - 4)(x" – x- 1). Simplify your answer. b. What is…

A: The detailed solution is given below. Thank you

Q: Calculate the implicit second derivative of b(z)=(x-5)^2 find the value of b''(-1

A: find the second derivative of the given function

Q: Find the derivative of the function g(x)=(3x^2−4x+3)e^x g'(x)=

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Q: 1. Using the definition of derivative, find the derivative of the following functions: 1 (a) y =xVx²…

A: Since you have asked multiple question, we will solve the first question for you . definition of…

Q: N g'(x) = Find the derivative of the function g(x) = (3x²5x + 1)e²

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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: f(x) = x2 - 4x + 7; x = 3/2, x = 2. Solve, a. Find the derivative of f at x. That is, find f′(x). b.…

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Q: 2x+1(4x²_5)³ 3 y = e

A: According to our guidelines, In case of multiple questions we are supposed to answer the first…

Q: Find the derivative of the function. 4x - 3 y = 9x + 8 The derivative is y' =|

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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 following functions at a given point x = a (3) (g) f(x) a = 4.

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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: 1. Using the definition of derivative, find the derivative of the follow HomeworK: functions: (a) y=…

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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: 2. Find the derivative of each function. Simplify if possible. a) f (x) = 5 (vã – 3) (2 – 3x²) 3x-6…

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Q: 3x 4 e Find the derivative of the function y = - 5x +3

A: The given function is 4e3x5x+3 to find the derivative of the function of the form uv use the formula…

Q: Using the definition of a derivative, find s' (x) given s(x) = -x² – 5x + 8. Provide your answer…

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Q: Find the derivative of the function g(x) 4 – 2x g'(x)

A: We have to find the derivative of the function g(x)

Q: Find the derivative of the function. t(x) =  8x + 2x2/x   t'(x) =

A: Given function is t(x)=8x+2x2x

Q: 1) Find the hundredth derivative of p (x) = (x+ x³ + x")1º (1 + x²)!' (x³ + x³ + x7). Justify your…

A: The given polynomial function is px=x+x5+x7101+x211x3+x5+x7 We have to find the hundredth derivative…

Q: Find the derivative of the function. (Factor your answer completely.) f(x) = (7 – e-2x)8 f'(x) = %3!

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Q: Let g(x) = x* – 8x + 2. a) What is the derivative of g(x)? b) What is g'(3)? c) Find the exact…

A: Solve by derivation

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: Obtain the derivative of the function f(2)% 3 -3a° – a* + 4x. Enter your answer as a function of a :

A: Given that f(x) = -3x2 - x4 + 4x  Find derivative of this function f(x). We know that derivative of…

Q: Find the derivative of the function. t(x) =  x2 − 8x3

A: Find out the function in t(x)

Q: (x² + 1)(x +3)² 18. Find the derivative of y = In %3| x -1

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

A: Consider the function; y=5x-72x+1

Q: II. Find the derivative of the following functions. 1. f(x) = x3+x x4-x2+1

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Q: Find the derivative of the function.  g(x) = x−2 − 9x−1 − 4   g'(x)=

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Q: how do i find the derivative of the function ?

A: Given function is,

Q: a) Given f(x) =- 3Vx + 2 Find f'(x) using the definition of derivative.

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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: 8. Find f '(2) if f(x) = [g(x)]*, and g(x) = x + 2

A: g(x) = x+2  f(x) = [g(x)]4  f(x) = (x+2)4

Q: 4. k(x) = (4x³ – 7x² + 5)/4e*

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Q: h(x)=83x3+32x2+120x+9 Given the function above, use the First Derivative Test to find the local…

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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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Q: Find the derivative of the function f(x) = 3x? – - 12x – 28 by definition of derivatives f(x + h) –…

A: A function is a relation which maps each value in its domain to exactly one value in its range. The…

Q: Using the definition of derivative, find the derivative of the following functions: (a) y=F-2 (b) y=…

A: d(xn)dx=nxn-1 is basic formula