1? – 1 h(t) t -1 In Exercises 13–18, calculate the derivative in two ways. First use the Product or Quotient Rule; then rewrite the function algebraically and directly calculate the derivative.

Q: Question Determine the derivative of f(x) = In(xv + I). Provide your answer below: s'(x) =O

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Q: Finding a Derivative In Exercises 7–26, usethe rules of differentiation to find the derivative ofthe…

A: The given function is: y=t2-3t+1 Find the derivative of the function.

Q: Exercise3. Determine the first and second derivative given the following functions. 1. f(x)=x - 9x²…

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Q: PART D. IMPLICIT FUNCTIONS, CHAIN RULE and HIGHER DERIVATIVES 14. Evaluate y" or of the function x'…

A: Given: x33+y33=132 For finding third derivative of given expression, we differentiate given…

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? O (fg)'…

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A: Consider the given function.

Q: In Exercises 13–18, calculate the derivative in two ways. First use the Product or Quotient Rule;…

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Q: exercises, use the Fundamental Theorem of Calculus, Part 1, to find each derivative. 157)…

A: we have to use the fundamental theorem of calculus ,part 1 to find the derivative. ddx∫1x2t1+tdt as…

Q: II 2. 3. 2. 4. x² 1. X. 3. D3x 4. 1. Find the given derivative. 4-part 1 Homework: Homework Chap

A: Dx3x-12 + 4x32=Dx3x-12 + 4x-32                               =3Dxx-12+4Dxx-32…

Q: Part 1 a) Given f (z) = + x2 + i(2x2 - y?), show which points where f has y a derivative. b) Show…

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Q: Question 1. A critical point of the function g(x, y) = ey + 3x²y-y is (0,0). Use the Second…

A: Given g(x,y)=exy+3x2y-y. The critical point is 0,0.

Q: (1) Which is the correct formula for finding the derivative of the product of two functions? |(fg)'…

A: We have to use chain rule of differentiation.

Q: Derivatives of exponential functions

A: W1.

Q: 1) Consider the function, e2x + e-2x f(x) : e2x - e-2x a. Find the value of x that f is undefined.…

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Q: . Find the derivative of a composite function using the Chain Rule or General Power Rule. 1.)…

A: As per the company's guidelines, we are supposed to solve first three sub-parts for you, kindly…

Q: . Version 2 of the Chain Rule Use Version 2 of the Chain Ruleto calculate the derivatives of the…

A: “Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 2x Let H(x) = E. 2-1 dt. 2+1 1 Use the Fundamental Theorem of Calculus to find the derivative of the…

A: Fundamental theorem of calculus for derivative of the function is implemented as

Q: Finding a Second Derivative In Exercises 45-50, find d?y/dx² implicitly in terms of x and y. 45. x2…

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Q: Finding the first and second derivatives in detail y= A 2*

A: We will use derivative to solve the given problem .

Q: 10-37 Find the derivative of the function. 1 10. f(x) = Vx2 – 1 -

A: As per our guidelines we are supposed to do only 1 question at a time. Please ask other questions as…

Q: 1. y= x° – 4 x* – 2x³ + 3x² – 5x + 10 | | |

A: Explanation of the solution is given below....

Q: Finding a Derivative In Exercises 13–32, findthe derivative of the function. h(s)=-2 \sqrt{5…

A: Find the derivative of the function .        h(s)=-25s2+3

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A: Given,

Q: f(x) = | 1 Use the Fundamental Theorem of Calculus to find the derivative of 1 -dt 1+ t4 f'(x) =

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Q: Using logarithmic differentiation, Show that y(x)=xa2xex2 has no stationary points other than x=0,…

A: Given function is yx=xa2xex2. We have to show that the given function yx has no stationary points…

Q: 7, 8, 9, 10, 11, 12, 13, 14, 15, 16, 17 and 18 Use Part 1 of the Fundamental Theorem of Calculus to…

A: The integral to be evaluated is,

Q: 1 dt t3 + 1 B Use Part 1 of the Fundamental Theorem of Calculus to find 7. g(x) = derivative of the…

A: Follow next step

Q: Question Determine the derivative of f(x) = In(xV? + 1). Provide your answer below: (x) =O

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Q: identify which function is the derivative of the other.

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Q: Solve the problem. Find the derivative of the function f(x y) = x² + xy + y² at the point (6, 7) in…

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

Q: B-42 Use logarithmic differentiation to find the derivative of the unction. 33, y = (2x + 1)°(x* –…

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A: To find the derivative of the given function

Q: Can you help me step by step?

A: Given function is

Q: Find y" in Exercises 71-78 1 X 71. y = 1 + 3

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A: Let the given function is of the form:

Q: Find the derivative. (The Fundamental Theorem of Calculus - Part 1) 19) y = cos ft dt 0.

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Q: In Exercises 5 and 6, write the function as a composite f(g(x)) and com- pute the derivative using…

A: Given: y=x+sinx4

Q: Question:- 3. 11 13 15 12 37 25 31 42 57 Find First & Second derivative at x=3.

A: To Determine :-  The first and second derivative at x =3 by newton forward method.