Let f(x)={tan(2x) ax+b if x>0 if x<0 For which values of a and b is f(x) differentiable for every real number?

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Q: (1 point) Suppose f" (x) = –16 sin(4æ) and f' (0) = –4, and f(0) = -1. -1. f(T/2) :

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Q: Find the open intervals on which the function is increasing or decreasing.     f(x) = sin x − 1, 0…

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Q: Find f(x) if f "(x) = x -cos x, f ' (0) = 2 and f(0) = -2.

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Q: Let f(x) = { tan^−1 ⁡(2x) if x ≥ 0, ax+b if x < 0. For which values of a and b is f(x)…

A: topic- limits and derivatives

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Q: If f(x) =- 2-cos(x) sin(x) then the absolute minimum of f on the TI 3T is: interval O 2/2-1 O 2/2+1

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Q: 9) Find f(x) if f'(x) = 7 sin x + 2x - 3 and f(0) = -3

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Q: tan x – 4 - If f(x) = sec x f' (x) = f'(1) =

A: We will use relationship between different trigonometric function to solve this.

Q: 1) Verify the Mean Value Theorem for f(x)= x+sin(2x) over the interval [0, 2]

A: given f(x) = x + sin (2x)   defined over interval  [0, 2π]

Q: 4 Let f(x) =(3/3(2x– 5)' +4- sin (5x* – 2x*)) . Find f (x). %3D |

A: Since I have rechecked my solution 6 times so there is no mistake as far as I know. So please ignore…

Q: Let f(x)={ tan-'(2x) ах+b if x20 if x<0 For which values of а and f(x) differentiable for every real…

A: Option second is correct, a=2 &amp; b can be anything.

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Q: Let be a differentiable function such that f(3)=2.345 and f'(x)= ln(x^2+1).What is the value of…

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Q: Find f'(x) for f(x)=tan^3x+tan(x^3)

A: The function is given by,

Q: Suppose f is differentiable with f(0) = 0 and 0 0.

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Q: Let f(x) = tan(3x). Then f' (x) = and f' (1) =

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Q: 1 Discuss the continuity of the function f(x) on the interval (0,2] and [-1,3] x2 -4

A: A function f(x) is said to be continuous in the closed interval [a,b] if→ f is continuous on (a,b).→…

Q: Find (f-1)(a). f(x) = 5 + x + tan(rx/2), -1 < x < 1, a = 5 (f-1)'(a) =

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