Calculate the derivative of the function. HINT [See Example 1.] f(x) = (x – 4)-1 f'(x) =

Q: 3. what can the derivative be used for? In essence, what are the practical applications of…

A: This is a problem related to practical application of the derivatives. Please find the procedure…

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

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Q: Please provide me with the solution to this problem. Please show the work and try to dumb it down so…

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Q: Find the first derivative of g(x) = - 9e* tan(x). : (x),6

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Q: 1) Find the derivative of y =-+x-1 %3D

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Q: e first derivative for the +1)(x +2) 2)

A: Find the first derivative. y=(x+1)(x+2)(x-1)(x-2)

Q: tind the first derivative of the fanction i2 () =メ ニフ(x-1)

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Q: Find the derivatives of x^ x (x>0) with respect to x, find first principles

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Q: 1. Please use this formula in finding the derivative of a given function. (. b. Find the derivative…

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Q: Find the derivative of the function. 4 = 3 + 8cos x

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Q: Shows the derivative function of: e3x+5

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Q: 14) Find the first derivative of f(x)= 2*2*

A: The derivative of ax is axlna. The derivative of xn is nxn-1, where n is any integer. The chain rule…

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

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

Q: a) Find the derivative of the function using limits: f (x) = 2x+1 b) Find an equation of the tangent…

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Q: 2. Find the derivative of y= ecos{/x+3) Solution:

A: Topic:- derivatives Note:- as per our guideline if more than one question uploaded than only first…

Q: Find the first derivative of the function below:

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Q: x²+x' Evaluate the derivative at x = 1 for y = In () %3D

A: Some common derivatives are, ddx(ax)=ax.loga+C ddx(logf(x)=1f(x).f'(x)+C Quotient rule of…

Q: find the first and second derivatives of f(x) = ln (x+1)

A: f'(x)=1x+1 and  f''(x)=-1(x+1)2

Q: 10)Find the first derivative or f’(x) of the following functions using long method derivatives

A: We need to find derivative of given function.

Q: 1 Find the function whose derivative is (x+1)-

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Q: 6 Find the derivative of f (y) =7tan(y) - 6.

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Q: 1 14) Use the definition of derivative to find dx 3- х.

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Q: Find the derivative of the following function by definition (from first principle): f(x)= x/(x-1)

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Q: Using the definition of derivative, prove that the derivative of a constant is 0.

A: Let the constant function be f(x)=k By definition of derivative f'(x)=limh→0f(x+h)-f(x)h

Q: Find the derivative of the function. 10 f(x) = 3 + 2cos x

A: Recall: dxndx=n xn-1 d(cos ax)dx= a(- sin ax) dc1f(x)±c2 g(x) dx= c1d[f(x)]dx± c2d[g(x)]dx

Q: Example 4:- By using the four steps rule, find the derivative of the function f(x) = Vx + 2

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Q: a.) z= 5.

A: We will find the second derivative of the given function in the following step.

Q: at x: つ:8ー5x, atx=e

A: Given:  F(x) = x3 - 5x ...(1)       and the…

Q: Find the derivative of the function. f(x) = ln(x2 + 1)2

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Q: (# 11 Exam 1 Review) Find the equation of the line tangent to the graph of the function: f (x) =…

A: For the equation of tangent, we need to find the slope of the function at x=1.

Q: ii) y = e**-2x + x²-e

A: We need to find the first derivative of the following y=ex3−2x+x2−e so we we need to find value of…

Q: Determine the derivative of f(x)=(e3x−1)5.

A: We have to find the derivative of function

Q: 3. Find the derivative of f(x). (a) f(x) = e cos x (b) f(x) = (2x³ 4x-¹) cotx -

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Q: Find the derivative of the function. f(x) 4. + 2cos x %3D

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Q: 10. Find the first derivative: f(x) = (x³ + 2x) In x %3D

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Q: Find the derivative of -3x f(x) = e¯* + e2x - e %3D

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Q: Find the derivative of the function. h(x) ető - x + 1 ets

A: hx=ex8-x+1

Q: 10 The derivative of f(x)= - is

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Q: 14. Find the derivative of the function using the definition of derivative. f (x) = V1 – x

A: Derivatives

Q: 31. Using one-sided derivatives, show that the function f(x) = {2. [x² +x, | 3х — 2, х> 1 does not…

A: Given: fx=x2+x     , x≤13x-2   ,  x>1

Q: Find

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Q: Find the derivative of f (x) =arcoth (e³" ).

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Q: Find all possible functions with the given derivative. = రx = 1x 2x

A: The answer is given below

Q: Find the derivative of the function. 10 f(x) = 3 + 4cos x %3D

A: Given that fx=10x3+4cosxTo find its derivative

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A: Authoring guidelines:…

Q: 1. Use the definition of the derivative to find the derivative of f(x)- V-x-2

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Q: Find the derivative of the following function by definition (from first principle): f(x) = x-1

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Q: what’s the derivative ? f(x)= ln(x^3 - 7x^2 + 1)

A: topic - derivative of a function