Q4 Let f(2) = 2-3r- 12r +7 a) Calculate f'(x) and f"(r). b) Find the critical number(s) and the increasing and decreasing intervals of function f(r). c) Find the inflection point(s) and the intervals when f (x) is concave down and f (x) is concave up.

Q: A function f(x) has an inflection point at (2,-2). Which of the following could NOT have been the…

A: We know that point of inflection can occur where the second derivative is 0. It is the point at…

Q: The functions f₁(x) = x² and f(x)=x³ are orthogonal on the interval [-3,3] ? True False

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Q: Find f. f "(x) = x-2, x > 0, f(1) = 0, f(5) = 0 f(x) =

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Q: The third term of a G.P. is 12 and 6th term is 96. Find the sum of nine terms afist alumo adT (8)…

A: Consider the provided question, The nth term of G.P is given by, an=arn-1where, a is the first termn…

Q: Determine the two-variable function F(x, y) if Fy (x, y) = y sin(xy) + x given that x-² F(x₁ - ²) =…

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Q: Find the derivative of the function. 8) q =V10r - 15 -5r4 A) - V10r -15 B) 2/10r - 15 C)- 2/10 - 514…

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Q: c) Consider the third-order truncation error (0 (Ax )³) with the step size Ax and also (-Ax ) then,…

A: Both approximation is second order O((∆x)^2)

Q: differe ntiato a) f(x) =10ge (X)x (3x)3 lincx))

A: Solution -  a.) Given function -  f(x)=log2(x) × (3x)3  We can write it as -…

Q: of and ду of Consider the function f(x,y) = 9x' - 4y - 2. Find -

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Q: f(x,y)=x^4+y^4-4xy Find all the endpoints of the function.

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Q: Differentiate the function. r(t) = (3²- + 8)i + r'(t) = (6t)i + ( 132 r'(t) = i + (6t)j r'(t) =…

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Q: Find f. f "(x) x2, x > 0, f(1) 0, f(9) 0 =

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Q: At the point (1, −1), the function (x, y) has a derivative of 5 in the direction toward (3, 1) and a…

A: Consider the given information.

Q: On which interval(s) is the function g(x) = xª – 8x² + 5 concave down?

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Q: Let f be the function given by f(x) = 4x³ - 5x² + 6x + 7. What is the value of f'(-1)? 28 O 12 CO

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Q: Find the derivative of f(x) = x In(x) 1- In(x) O In(x) O1+ In(x) O In(x) /x

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Q: Find f. f "(x) = x-2, x > 0, f(1) = 0, f(7) = 0 f(x) =

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Q: If f(2) = (3z)²a² z+2/a find and simplify f(/@). %3D

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Q: Зх-4 (5) Let f(x) x E [-2,2], find the absolute maximum and minimum x²+1 values of f(x).

A: We will find out the required value.

Q: Find the derivative 3a+bt3 2b f(t) =+ V6at6. 5 3t

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Q: Example If F[f(t)] =el/(1+f^2) find the F.T of F[f(2t)] 1+f2

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Q: Let f(x) = 2x³ + 1. a) Find f(x+h): 2(x+h)³ +1 b) Find f(x + h) − ƒ(x): h(6h² +6xh+: 2h²) c)…

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Q: Find a function f so that f '(x) = 3x + 2x + 5 and f(1) = 10.

A: Given, f'(x)=3x2+2x+5 To find the function f, Integrate f'(x) with respect to x  we get,…

Q: Let f(x) = 2x³ +1. a) Find f(x + h): b) Find f(x + h) – f(x): c) Find fe+h)-f(x). d) Find f'(x):

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Q: Find y' for the function: y=(x²+1){(x+5+1), by applying the Product Rule. (a) 3x² +10x +2. (c) 3x³…

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