Question 17. Obtain the derivative of the function f(e) = (10x + 9)8/5 in the form A(Ba + C)P, where A, B, C are integers, D is a fraction and B and C have no common factors. B: C = D =

Q: QUESTION 4 Find the derivative of the following function by first leveraging the properties of the…

A: The given function is: f(x)=lnxx2-9635x

Q: QUESTION 3 3 1 2 Let A = 1 4 5 2 5 and X2 X= 6. X3 Find (X'AX). Write out its derivatives with…

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Q: QUESTION 7 Find the second derivative. y%3D y = 4x 4 - 8x 2 8 8x 2 - 8 O 48x2 - 16 O 16x2 - 16 O…

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Q: Question 8 cosh(12x) is The derivative of y=cosh2(6x) + y'=6 sinh (12r) +6 sinh (6x) cosh (6x) y'=6…

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Q: Question 3 > Use part I of the Fundamental Theorem of Calculus to find the derivative of 14 dt f'(x)…

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Q: 1. Find an equation of the tangent line to the graph of the function at the given point. f\xl=In…

A: Solved below

Q: QUESTION 7 7.1 Use the method of “first principle" to define the derivative of f (1) = 3r² – 4x +1.

A: As per Bartleby's answering policy, we can answer only one question, so kindly post the remaining…

Q: Question No 02: Compute the first-order Derivative for each of the following functions at the…

A: a. 5-point Central difference formula: f'x0=−yi+2+8yi+1−8yi−1+yi− 212h. x -0.5 -0.25 0 0.25 0.50…

Q: Question 24 Calculate the third derivative of the function y= xe. A 4e2(x+ 3) B 2e(2x + 3) ©2e2(x +…

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Q: Question 21 Find the fourth derivative of x + 2x - Inx. A -8/x* B) 6/x C -6/x* D 8/x

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Q: Question 30 Determine the second derivative of 2x³ + y²= 1 – 4 y A 6x ( y + 2)-! - 9xª ( y + 2 ) -3…

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Q: Question 21 Given the function f(x) = x to the 3rd power -6x + 2, find the value of the first of the…

A: Differentiate wrt x

Q: Question 20 Given the function fx) x to the 3" power 6x 2. find the walue of the first of the first…

A:

Q: Question 2. Find the derivative of the given functions: a) y = e5 log, (4x® + e2=) In(x² + 4)ez b) y…

A: We know that u·v' = u·v' + v·u' uv' = v·u'-u·v'v2

Q: Question 8 Let a be a real valued constant. Find the derivative with respect to x for the function…

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Q: Question 14 Use part I of the Fundamental Theorem of Calculus to find each derivative, given the…

A: Given query is to find the derivative of the expression.

Q: Question 5 ) For each of the following, use the product rule to find the derivative function. a)…

A: Note : “Since you have posted a question with multiple sub-parts, we will solve first three subparts…

Q: 1. Find the derivative of the following: (Simplify your final answers.) f(x) = ev3(cos²zx) C.

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Q: Question 3 Find d √x³ - 2x using the generalized power rule and choose the correct value of…

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Q: Question (3) Estimate the first and second derivatives of f(x) =-0.1x 4 - 0.15x 3 - 0.5x 2-0.25x+…

A: Solution:Estimate the firts and second derivative of fx=-0.1x4-0.15x3-0.5x2-0.25x+1.2at x=0.5  and…

Q: [24] 1. Find the derivative of the following function. Make any obvious simplifications. (a) r²y²…

A: Hi, I am solving question 1 for other question repost it.

Q: QUESTION 7 The error bound in the Two-point forward formula, for the approximation of the derivative…

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Q: QUESTION 3 Given that f (x) = 2x2 + 1. Find f'(x) using the definition of derivative. %3D

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Q: Question 5 * For each of the following, use the product rule to find the derivative function. a)…

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Q: 6. Find the derivative for each function. b. f(x) In 5x3 2)3 f(x) (e*3 2) а.

A: Use exponent rule for exponent 3 and use chain rule for (e^x^3 +2)

Q: Question 19 Find the fourth derivative of x + 2x- Inx. A)-8/x B) -6/x C) 6/x D) 8/x

A:

Q: Question 5 Determine the derivative of the given function: y = (e + e)3 O y = 3(e- + e")² (e- + e")…

A: The derivative is given below.

Q: Question 19 1. Find the function whose derivative is e¯(e* + 1)?

A: Let's find.

Q: 1. Find the natural domain and the derivative of the given function. (a) 3x² +7x + 5, (b) (3x +1)5,…

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Q: Question 19. Obtain the second derivative of the function f(x) = -5x? + 2x5 + 4. Enter your answer…

A: Topic:- derivatives

Q: QUESTION 4 Find the derivative. y =x 5/6 Os,5/6 x1/6 1/5 Ox-1/6

A: Note that  d/dx (x^n) = nx^(n-1)

Q: 2. Find the derivative of each function. # 45 : y = In(1+e2") b. # 47: y = a. et +e-a

A: Chain rule: If F(x) is a composite function f(g(x)) and if F(x) is differentiable, then the…

Q: Question 7 ( Use the definition of derivatives to find the derivative of function f(x) = √2x + 1 at…

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Q: Question 12. Obtain the derivative of the function f(x) = sin(6x – 8) Enter the answer as a function…

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Q: Question 4 Determine the derivative of the given function: y = (e + e*)3 Oy = 3(e+e) (e" - e) Oy =…

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Q: Question 8 Find the derivative of the function at Po in the direction of f(x, y) = 3x 2 + 4y, P o(8,…

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Q: Question: 3 a) Find g'(-1) by using the definition of the derivative for the function g(x) ax-1…

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Question 15 Use logarithmic differentiation to find the derivative ofy. 3 (3x + y = 1)6x+2)2 (x4…

A: Consider the following equation: y=3x+1x+22x4+5x+73 Take logarithm on both sides of the above…

Q: Question 16 O [CLO-2] Find the derivative of f(x)=tan -¹ (√2x) O √√2x+√√88² (1+√√2x)² 1 √√√2x+√√2x³

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Q: Question 3 Find the derivative of each of the following functions. f (x) = x + 9 а. b. f (x) = In(x²…

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Q: Problem 4. Find the second derivative of below functions. (1) f(x) = 4, (2) g(x) = ln(3x² + 2x - 5).

A: 1)f(x)=41/x 2)g(x)=ln(3x2+2x-5).

Q: QUESTION 17 Which of the following is the derivative of g(x)=V4x +10? Og'(x) = 2x+/10 2x g' (x) =…

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Q: Question 1 Find the derivative of f(x) = 2x +3 Provide your answer below: f'(x) =O

A: Answer and explanation is given below

Q: 3 11. fx) I. shown. 12.

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Q: Question 3: a. Find the derivative of the function 2x +1(x - dx b. Given that y = 4x' -*, find dy…

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Q: As discussed in class, #(2") = nr"-1 (the so-called Power Rule). Apply the Power Rule, combined to…

A: our objective is to find the derivative in the question a) applying power rule.

Q: Question 1: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the…

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Q: QUESTION 3 Find the derivative for each of the following functions x? (а): x(х - 1) x² – 2x+1 - (b)…

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Q: Question 1. Identify the correct description for the formula f'(t) -hf(t+h) – h-'f(t) from the…

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Q: > Question 4 of 16 Compute the derivative of h(t) t cot(t) 11 csc(t) (Use symbolic notation and…

A: Before we proceed, let's note that the derivative of:csc(x) = -csc(x)cot(x)cot(x) = -csc2(x)