d) Prove that In|y² − 4| is NOT an antiderivative of - (Hint: Show that y²-4 is not the derivative of In(y² - 4).) 1 y²-4*

Q: -What is the derivative of (x + 1)2 ? a) x? + 2 b) x c) x d) 2x+2

A: We will use chain rule of derivative

Q: Let 60, 61. What is the derivative of the function y = b²? In(b) -In(x) 1 1 In(b) ○ b* In(b) eIn(b)…

A: Option (c) is the right answer. Explanation:

Q: Screen Shot 2021-10-05 at 9.01.21 AM.png y = (3 Vx – x2 + 2)x5 33 x9/2 – 7x6 + 10x* 2 - 33 x7/2 –…

A: See the details solution in below

Q: Q-1Find the derivatives of the functions 1- Y+In (xy) =1 2. Inxf 9.

A: Note:- Derivative of the product of two functions is ddx fx·gx  =f'x·gx+fx·g'x   Part (1):-  Given…

Q: Find the derivative of the following function. y = In(6x² – 7x) – 4x А) 18х? -7х x(6х* - 7) В) 1 - 4…

A:

Q: d) Consider the fourth-order truncation error (0(Ax )4) with the step size Ax and also (-Ax) then,…

A:

Q: Show that F(x) = 4x² + 6x +5 is anti-derivatives of f(x) = 8x + 6

A:

Q: Compute the derivative of the following using product or quotient rules. oldetin nedi 1. g(x) =…

A:

Q: Example 4. Differentiate with respect to 'x': 2 - 3x + 4 - X + x + 2

A:

Q: Evaluate the function when x = 1, 3 and 3 3 1) f(x) = x + 2x - 3

A:

Q: Find y' if 3x2- (xy²) = 2y³ 2 3=

A: Given: 3x2-xy212=2y3   As we know that; The sum/difference rule: f±g'=f'±g' The Power law;…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. h(x)= ].…

A:

Q: 6x?e- is The derivative of y a) None of these b) 6xe (2 – x) - c) 6xe (1 + x) d) 12xe (1 – x) - e)…

A:

Q: or f(x) = 2x-7 3x - 2

A:

Q: Find the derivative. 1) f(x)= V7,7x A) 7.7)4/5 B) 7.7)-1/56 ,7) D) 2) y = x/10x-8 15x-8 A) 15x B)…

A: 1) Obtain the derivative of f as shown below: f'x=ddxx7+7x5       =15x7+7x-45ddxx7+7x…

Q: The derivative of f(x) = ax² will be greater than that of f(x) = ax, for a domain of (0,1), where…

A:

Q: Let f (x) = 5x4 + 3x3 + 3x2 + 5x + 5. Fill in the missing coefficients for the derivative of f:

A:

Q: 3 x° In x x° with respect to X - Find the derivative of y a) 6x - a2 b) None of these c) p6 ln x x2…

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

Q: Let h(x) = x³e" k6*. Find dr (h(x)) wherek is a real number (i.e. k is a constant).

A: Given: h(x)=x3ex3-k6x To find: ddxh(x)

Q: The derivative of the function In In(coth a? – 1) is

A: follow next step

Q: 3. Let f (x) = (3x2 + 1)?. Find f'(x)in 3 different ways by following the instructions below in…

A:

Q: Given a domain of (-3,4], the derivative of f(x) = x² exists at x = 4 because 4 is included in the…

A:

Q: 16-17. Find the derivative: y = (x2 – 4x + 2)(2x3 – x2 + 4) A) 2x*- 36x³ + 24x2 + 4x -1 B) 2x* –…

A: