Q34. If f'(0) = 4 and f(4) = 2 and f'(4) = k. Then find the value of k if f(x + y) = f(x) + f(y) V x, y ER.<

Q: Given the function below f(x) = 3 x³ – ²x² − 18 x + 3 a) Differentiate the functionƒ(x) = 3 x³ − 2…

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Q: For what value of x does the function g(x) x - 2x concave downward? В. A. x -1 D. x< 2 C. x -2 1/3

A: The graph of y = g (x) is concave downward on those intervals where y = g "(x) &lt; 0.

Q: Find y as a real-valued function of tif y(5) 9, y'(5) = 9. = y = 49y" 140y + 100y = 0, -

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Q: f(x) = Ve

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Q: x-²²-3 ²-3, determine the x-value(s) where f(x) changes from concave up to concave down. f(x)= Ox=…

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Q: Find for Domain and Range of the function f (x,y) = /49 – x2 – y²

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Q: 2. Find f'(1) if f(x) = 3x³ (√x-2).

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Q: Let f(x) = -9x¬4 find f'(2). Select one: O a. - O b. 32 36 32 O d. 16 36 32 9/2

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Q: Consider the function f(x) = 2,/T +2 on the interval [2, 5]. Find the average or mean slope of the…

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Q: Given f(x) = 4x*, find f'(x). Then state whether f(x) is a function. ;f(x) is a function. 4 y = + 4…

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Q: Find f. (x+ 1) (b) f'(x) = f(1) = 5 3.

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Q: 2 For the function f(x)=√x² +4, find f''(x). Then find f''(0) and f''(9).

A: Given query is to find indicated derivative.

Q: . If f(x) = V4x – 7, find f'(x).

A: we have ;  f(x)=4x-7;  we have to find f-1(x)

Q: d) Find the value of the constants ' a’ and b ’ that makes the function continuous at x= 3 ах + b ;…

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Q: Calculate y" for the function y = 5x' – 7x² +16

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Q: 2x Find F'(x) given F(x) = S t2dt. -2x

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Q: / = 20. Evaluate f (a+ 2) for f(a) 3 4x-8'

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Q: 10. Find function that satisfies the given conditions: f"(x)=6x³-3x+4, f'(1)=-3, f(1) = -6

A: The function satisfies the condition f''x=6x3-3x+4, f'(1)=-3, f(1)=-6 use the integration formulas,…

Q: 5. Determine f,(x); f(x) = x*², x > 0

A: We need to find out first partial derivative

Q: For f(z) = 2es'the value oflog(f(z)) is

A: Given that fz=2eπ8i We have to find the value of logfz

Q: 1 For the function f (x) = 2 (x + 4) – 6, find f(x).

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Q: Find f. f"(x)  =20x 3    +12 x2    + 4  ,    f(0) =8,  f(1)  =5

A: Given, f''x=20x3+12x2+4f0=8, f1=5

Q: 1. f(x) = 4x - 17

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

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

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Q: Differentiate f(x) = Vx² + 1(³. Do not simplify. x+2"

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Q: 10. If f(x) = 2x³ - 3 x3, then f'(1) is which of the following? (B) -3 (C) -15 (E) 7 (A) 15 (D) -1

A: given function is

Q: Let 15 ƒ(x) = (2x² + 3)¹ (2x² + 7) ¹5 Find the derivative and write the answer in factored form.…

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Q: Determine f'(x)given f(x) =(3x – 6) • Vx

A: We are given a function which is product of two different functions i.e. f(x)=(3x-6).3√x we need to…

Q: 2. Find the x-intercepts for g(x)= 3x² -12x² - 36x

A: To find the x intercept we have to put y = g(x) =0