4. f(x) = log;(x) sec(x)

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

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Q: 9.) f(x) = (2x+ 1) 10.) f(x) = x2

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

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: 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: 7. Use the definition of the derivative (long method/ increment method) to find the derivative of…

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Q: х7 + 5x6 — х3 f(x) = x?

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Q: following

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Q: Consider the following. 8x f(x) x2 Find the derivative of the function. f'(x) = Find the slope m…

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Q: Find the second derivative of the function. g(x) = 4 cot x

A: Given :gx=4 cot xTo determine the second derivative of gx .

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

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Q: Find all possible functions with the given derivative. y'=-5+7/x^2

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Q: 5х 6a) Find the derivative using logarithmic differentiation: y = (tan x )x

A: The function is given as y=tanx5x Taking log to the both sides logy=logtanx5xlogy=5xlogtanx…

Q: Find the derivative function ƒ′ for the following functions ƒ.b. Find an equation of the line…

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Q: 8. Find the derivative of the following functions with respect to x by using either the product or…

A: Part (a):   Apply the product rule:

Q: Find the derivative of the following functions and simply it whenever possible. 9. y = e-4x

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Q: 4. g(x) = x° · sin(x)

A: The given function is gx=x3·sinx

Q: 3. Find the derivative of the following functions, then use the derivatives to find the equation of…

A: Given function is f(x)=2x+3 find the equation of tangent lines at x=-1 and 2

Q: Find the derivative of f(x) = e*?+1

A: Given, f(x)=ex2+1

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: 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: 2. Find the derivative of the following functions:

A: a) Givenf(x)=x4+3x-2+2exDifferentiate f(x) w.r.t xf'(x)=ddx(x4+3x-2+2ex)Applying linearity…

Q: 1+ 2x f(x) = 3 – 4x %3D

A: using derivative formula  for division of two function

Q: Find the derivative of the algebraic function.

A: Given: f(x)=4-3x-x2x2-1

Q: Find the derivative function ƒ′ for the following functions ƒ.b. Find an equation of the line…

A: Given function is fx=3x2+2x-10 Differentiating the given function with respect to x,…

Q: Consider the following. x2 f(x) = x + 2 Find the derivative of the function. f'(x) Find the slope m…

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Q: find the derivative of the following: f(x) = e^x (2x^2-x+3)

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Q: 2. Fill in the appropriate derivative rule information for the function y (2-e")V6x-1 in the table…

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Q: Find the second derivative of the function.

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

Q: Find the derivative of the following function. (Do Not Simplify Your Answer After You Evaluate The…

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Q: Find the derivative of the function and then evaluate at the given point. y= 3x- 4x; (- 1,7) f'(x)=D…

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Q: Find the derivative of the following function. You must show work. h(x) = (x³ – x² + 1)°

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Q: 5 Find the f" of f(x) x4 II

A: The given function is fx=5x4

Q: 1.) f(x) = 5x10 - 6x5- 27x +4 %3D 2.) y = x 2. 3.) z = %D= 1+x2

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Q: Consider the following. x² f(x) = x + 7 Find the derivative of the function. f'(x) = x(x+14) (x+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: Find and simplify the derivative of the following function. f(x) = x+3 %3D Which of the following…

A: The given function is fx=xx+3. Obtain the derivative by quotient rule as follows.…

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

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Q: B. Find the derivative of the following functions, then use the derivatives to find the equa of the…

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Q: 4. Find the derivative of the following function. y = x*

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Q: 5. Find the derivative of each of the following functions. Simplify where possible.

A: The given function is: g(x)=3x2-12(2x+1)4

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: Find the derivative respect to x of the following function and simplify f(x) = (x - 5)2 ln(4x+1)

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Q: III. Find the indicated derivative of the following. 1. x? -4y? =5 , y"

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Q: II. Find the derivative of the following functions. 3. f(x) = x² cos(4x³)

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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: y=1-x/√2-x

A: Given: y = 1-x2-x To find: Derivative of the given function.

Q: h" (x). h(x) = xe h" (x) If , find Again, n means the "nth" derivative of h. NOT h(x) to the "nth"…

A: Given: hx=xe-x To determine: The "nth" derivative of h i.e. hnx.

Q: A1) Using the definition of derivative, find the de

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Q: Find the derivative of the following function given

A: Our Aim is to find the derivative of the functions given below:-y=sec2 (x)-tan2 (x)  -(i)