Given that y is the output for the function f(x), which of the following statements is false for the inverse function x = g(y)? 1 y=f(x) =In(- -), x>0 X+2 g(1) = 1/e – 2 O g(In(4)) = -7/4 O g(In(2)) = - 3/2 g(0) = - 2

Q: Show that is C is a function of x with derivative C'=C/x and N=C/x, the d/dx (C/x)=(C'-B)/x

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Q: Find the first derivative for the following function. Vx4 – 3 (2х — 5)"] f(x) = ln (2x-5)7 Vx4-3 2x3…

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Q: Suppose s (x)= - 2(1– 5x)3 What is the correct result of the derivative of g with respect to x? 45 A…

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Q: What is the first derivative of the following function: f(x) = (x³ + 2)4 O f'(x) = 12x²(x³ + 2)³ O…

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Q: Find the second derivative of the function f(x) = 2 – 3x + 5æ/2 – 7e" . 15 f"(x) = –3+ 2 7e" f" (x)…

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Q: In(3x) Given f(x) the derivative f' (x) is 3 O x3x 3 3 1 3x 3x

A: differentiate both sides with respect to x and solve the question. see 2nd step.

Q: 5. Find the derivative of the function. f(x) = x°/1- 8x x(16-136x) 2/1-Sr x'(16+136x) f (x)3D 2/1-8x…

A: The function is given by,

Q: The derivative of y= xh* is O 1) (In x)(xh*-) O 2) 2 an x)(xh*) O 3) (In x)* O 4) xhx

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Q: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

A: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

Q: If f(x) = and g(x) = Vx, then the derivative of f(g(x)) is -VE (A) ( + 1) (B) -(x + 1)- -2x (C) ( +…

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Q: 1. Find the derivative of the following functions at an arbitrary point x: 8 a. f(x) = x3/2 b. f(x)…

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Q: if f(2) = 1, f'(2) = 3, g(2) = 3, and g'(2) = -1, then the derivative of f(x).g(x) evaluated at x =…

A: Given: f(2) = 1, f'(2) = 3, g(2) = 3, and g'(2) = -1

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. y=x" In x - O A. 4x-x O B. x*…

A: The function is given as y=x4 ln(x)-13x3 Differentiate the above function w.r.t 'x' y'x=ddxx4…

Q: Which of the following shows how to find the derivative of f(x)? f(x) = 3x*(5x? - 6) %3D…

A: The 2nd option is the correct option. Consider the formula for the product rule for differentiation.…

Q: 1. Compute the first, second, and third derivative of a. f(x) = x² In(x+ 1)

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Q: 5. Suppose f(3) = -2, g(3) = 5, h(3) = –1, f'(3) = -4, g'(3) = 3, and h'(3) 2. Find the value of the…

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Q: if f(x) = x² √In x² x . find the derivative of this function f'(x A. f'(x) = B. f'(x) = c. f'(x) =…

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Q: Compute the derivative of the given function. f(x)=−4x^π+4.1x^1.3+π^1.3

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Q: 1 Find the derivative of the following function: f(x) = e2X(3x² - vx) 2e2X(6x - 1/x) O e'(6x -…

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Q: What is the derivative of the function f(x)= In(3x2) ? а. f'(x)= 2 b. None of these. с. 1 f'(x)= %3D…

A: We have given that  The function is f(x) = ln(3x2)

Q: 2. g'(x) where g(x)=x² +7x-5 %3D

A: In this question we need to find a derivative of the given function.

Q: f. y=In(x8+1)

A: We will solve the problem

Q: if f(x) = x²√√In x² P x A. f'(x) = . find the derivative of this function f'(x) 1-In x² x²√√In x²…

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Q: 3 Find the derivative of the inverse of f(x) = x +1 using the formula dy %3D 1 off "(x)= g'(x)= dx…

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Q: Consider the function f(x) = (4-5x)7. Find the second derivative f" (1). O7(4 – 5z)® O-35 (4-5x)6…

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Q: Find the derivative of the given function 4. g(x) = (4 – 9x²)³ 5. h(x) = 2-9, 3 x+5 %3D 6. A(x) =…

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

Q: 3 Suppose 8 (x): 2(1- 5x)3 .What is the correct result of the derivative of g with respect to x? 45…

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Q: if f(x) = x²√√In x² A. f'(x) = B. f'(x) = c. f'(x) = D. f'(x) = find the derivative of this function…

A: Given,            fx=x2lnx2xTo find : Find the derivative of the given function.

Q: Find the derivative of the function f (x) = /e* – In(x) 12 – 1/x) O (ex12 – 1) O (e2 – 1/x) e? -x)

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Q: Consider the following. g(x) = 2e-x + In x; h(x) = 5x2.1 Find the derivative for f(x) = g(x) · h(x).…

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Q: If g(3) = −2 and g'(3) = 15, the compute the derivative of g−1(x) at x = −2

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Q: In(4x Given f(x) = the derivative f'(x) is 4 1 4x 1 4x O 4 O z4z

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Q: - Show that f(x)= E ƒ(x), where E is a constant and f(x)= e²x + e2x

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Q: Which of the following is the derivative of the function f (x) = 5x · e*? Of (x) = 5e* Of'(x) = 5e*…

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Q: Q3: find the derivative of In(x4+3x-1) a) f(x) = %3D x²+1 b) f(x) = 4x³ . log(x² + 2x) %3D c) f(x) =…

A: Use product rule of differentiation.

Q: What is the first derivative with respect to x of the function g(x) = 3/9x O 1/2 9.

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Q: The derivative of the function y = In (* + 1) (* - 1) is O y = O y = :- - 1 e+1 + -2 +1 ||

A: Question is solved.

Q: Suppose h(x) =23r +1 What is the correct result of the derivative of h with respect A h'(x) =3-23x +…

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Q: Match the functions in Column A with their derivatives in Column B. 1. f(x) = 4 А. f'(x) = 8x 2.…

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Q: Find the derivative of the following function f(x) = 5(x + 47)^2 * %3D O f (x) = 10x + 470 %3D O.f…

A: The given function f(x)=5x+472

Q: Compute the derivative function f' (x) algebraically. f (x) = -5x3 +7 O f' (x) = -15x O f' (x) =…

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Q: Suppose 8 (x) = V x²+1, What is the correct result of the second derivative of g with respect to x?…

A: The function is given by gx = x2+1 To evaluate: The expression of g''x.

Q: Find the first derivative for the following function. f(x) = 3/7x² – 2 %3D A. f'(x) = 21x(7x² –…

A: Find the derivative

Q: Given f(x) In(5x) the derivative 5 f'(x) is 1 5x 1 5x O 5 O x5x 1

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Q: Find the first derivative for the following function. g(x) = 4e3x*+2x %3D A. g'(x) = 4e3x*+2x +…

A: to find:- first derivative of g(x), i.e. g'(x). *formula:- d/dx {e^x} = e^x d/dx {x^n} = n*x^{n-1}

Q: Find the first and second derivatives of the function. 14. f(x)= x to the 7/2+x to the 5/3-x to the…

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Q: Find the derivative of the function. g(x) = [*- 1 -dt -5 2+4 10 а. 841 b. 2x (x²+ 4)² 1 С. x²+4

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Q: 4, Differentiate the function. (3) f(x)= In 2.x²(x+2)³ (3х - 2)5 (4) f(x)=In, |(x+1)(x+2) x(х — 1)…

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Q: In(4x) Given f(x) = the derivative f'(x) is 4 1 4x O 4 4 O x4x 4x

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Q: Find f'(x) (the derivative of f(x)) if f(x) = 7x'3 - 2x'2 + 4x - %3D 5. O 21x^2 - 4x + 4 + C O 21x^2…

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