e7 is equal to The derivative of the function :Select one e7" +¤ (7ª In 7 + 1) .a x(7* In 7 + 1) .b e" (7* In 7) .c

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: 1/x using the definition o

A: we have to find the derivative of f(x) using the first principal. f(x)=x+1x

Q: b)Find the derivative of the function by using the derivative definition? ds if s dt 2t + 1

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Q: What is the derivative of p(aE - bE2)?

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Q: what is the derivative of y=e^-1/2x(C1cos3x+C2sin3x) and evaluate if x=0, y'=8

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Q: Without evaluating derivatives, which of the following functions have the same derivative: f (x) =…

A: Use the properties of lograthim and simplify the given functions than guess which have same…

Q: What is the derivative of f(x) = - 3 with respect to r? %3D

A: Given: The function f(x)=-3x3

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: Given that f(x)=x2-9 , c=8 find the derivative at x=c by using alternate form of derivative

Q: 103. If fix) = r, n2 1, show from the definition of the derivative that f'(0) = 0.

A: The given function is fx=xn,  n>1. Compute the derivative at 0 as follows.

Q: 54th Dorivative: fle)=2-4sin (a2)

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Q: Of the two functions f and g in Figure , which is the derivative of the other? Justify your answer.

A: Given Graph,

Q: Compute forward difference approximations for the first derivative of the function, y =[ eln(x)2, at…

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Q: What is the relative error in estimating the first derivative of f (z) = 25x - 6x2 + 7x- 88 at x-2,…

A: Given equation is f(x) = 25x3 - 6x2 + 7x - 88∴ f′(x) = 75x2 - 12x + 7

Q: a) Find the derivative of g(x) = 3tanx – 4cotx. %3D b) What is the value of g 3.

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Q: Find the derivative of the function. (x) = In(4 – x®) r"(x) =

A: We have to find

Q: Q2/ Find the derivative of the function f(x) = V3x +1 by definition %3D

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Q: g(u) u +1

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Q: Use the alternative form of the derivative to find the derivative at x = c (if It exists). f(x) = x2…

A: Given f(x)=x2-2 c=5

Q: Evaluate the derivative of the function y = 2tan ",²+In (e +e).

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Q: What is the derivative of y = e3 In(5 + e3)? %3D

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Q: The définition of the first derivative of a function f(x) is:

A: Explanation of the answer is as follows

Q: 6. Use the definition of derivative to find f'(x) if f(x) 3D х2 — Зх — 4

A:

Q: 5. What is the definition of the derivative of a function f(x) ?

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Q: Find the second derivative of the following function: f(x) = esin1, %3D

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Q: Find the derivative of the function f(x) v4-x by definition

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Q: Find the derivative of ?(?) =5/13sin2(5?). using the chain rule

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Q: What is the relative error in estimating the fırst derivative of f (x) difference approach with…

A: We can solve this by using central difference formula and relative error formula

Q: In the interval 3 < x < 4 of the first derivative test, f(x) is a. Not moving b. Changes direction…

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: NOTE: Refresh your page if you can't see any equations. . the given equation is take x=-6

Q: If fox) is odd function , then the derivative of y =coshf(-x)) equals

A: here option B is true

Q: 1) Find the second derivative of f (x) = 24 . %3D

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Q: 4 Find the derivative of the function f(x) = %3D x +7 Provide your answer below: f'(x) =

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

Q: The derivative and antiderivative of a function are unique. O True False

A: derivative of a function is always unique  but integration is not unique, it depends on constant…

Q: Find the derivative of f (x) = coth³(1In(x³)). %3D A 9x²coth?( In(x³)) csch2(In(x³)) - 9coth (…

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

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Q: What is the derivative of cy = 2 - a°y ?

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Q: Give the derivative formula for the function. (x)2 In x -e j'(x)

A: Consider the given function.

Q: The value of the second derivative of at its point of inflection is A less than zero B equal to zero…

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Q: 2. Use the definition of the derivative of a function at a number to calculate f'(8) where f(x) is…

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Q: (1) For what value c on the interval [-10, 10] can the second derivative test be used?

A: Second derivative test is used to check if a critical point is a local minimum or maximum.  So we…

Q: If f(x) : ,then what is the derivative of f(x) with respect to x? O 10 x3 10 10 -- x3 O 10 x2

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Q: Evaluate the first derivative of the function below at (1, -2). y X - - + + + 1/4 = 5 y x

A: Given: xy+yx=5   As we know that; The Quotient rule: fg'=f'·g-g'·fg2 The Power Law: ddxxn=nxn-1

Q: Find the derivative of the fünction. y = 7(6 - x2)6 %3D

A:

Q: 4. The derivative of the function f(x) = r +3) is

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Q: What is the derivative of f(z) = (z³ –- (z – 1)º)*? %3D

A: Given function is f(x) = (x3 - (x-1)3)3

Q: Use the definition of derivative to compute f '(0). e-1/x if x * 0 if x - 0 f(x) f '(0) -

A: The definition of the derivative is given by: f'(x)=limh→0f(x+h)-f(x)h⇒f'(0)=limh→0f(h)-f(0)h  ...…

Q: Use forward-difference formula to evaluate the first derivative of y = x² + 4x – 5 at a = 0 using a…

A: The forward difference formula is : f'(x)=f(x+h)-f(x)hWe have to find the first derivative of…

Q: 5л? + 3х — 14 (а) f(*) %3D 5х — 4 6x² + 4/x (b) f(x) = %3D

A:

Estimation

A new framework of data analysis where the new statistical methods are used for interpreting the results and analyzing the data is known as estimation in statistics.