Define for n ≥ 1, fn(x) = limn→∞ ₁ fn (x) dx = 0 because fn (x)0 uniformly. True 1 nx² +1' False xER. Then

Q: x if x20 If Ax) = -x2 then f'(0) if x <0

A: Given function, fx=x2      if x≥0-x2   if x&lt;0

Q: 6) Let h(x) = x7 + 2x +. Find h'(x).

A:

Q: Find f(x) if f(4) = -8 and the tangent line at (x , f(x)) has slope 7o* + 4. O a. f(x)= 7e* + 4x –…

A:

Q: No Religious Affiliation Trends. The following table gives the percentage of first-year college…

A: Let t be the time in years, and P be the percentage of claiming no religious affiliation. Now plot…

Q: For n 4 we find the derivative of f(x) = x* as follows: f(x + h) - f(x) (x + h)* – x lim f'(x) = lim…

A:

Q: Let ƒ(x) = ln(−5x² + 3x + 10) ƒ'(x) =

A: use logarithmic differentiation

Q: Find f'(x) for f(x) = ex²+3x+¹¸

A: Given that f(x)=ex2+3x+1

Q: Suppose, f'(x)=2cosx+ sec x, -7<x<7½, and it is known that f(T) =D4. Find the function f(x). IT

A: Integrating on both sides, we get

Q: Suppose that Find f'(x). f'(x) = = f(x+h)-f(x) = 6hx - 4h +8h².

A:

Q: lim (x' – 2x* +5)= x→-2 O a. 22 O b. -11 O C. -13 O d. -18

A:

Q: 26. Determine (a) f(x) = (c) f(x) = where f is continuous. X \x/-3 2x - 1 2x² + 3x - 2 (b) f(x) =…

A: We have to find where function is continuous.First we will find points where function is…

Q: Let h(x) = In[(f(x))² +1. Suppose that f(1) = -1 and f' (1) = 1. Find h'(1).

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Q: Sketch the piecewise function defined below and note any type of discontinuity and specify where…

A: Here we want to sketch the piecewise function and want to decide which kind of discontinuity is…

Q: X = (1-_-_-_-)* 2 o then f(x) tend:

A:

Q: For the angles a and in the figures, find cos(a + B). 5 3 5

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Q: 6. Find [ f(x)dx if f(x) = et -1, if -3<x<0 V9-x², if 0<x<3

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Q: Suppose that f(1) = 1, f(4) = 9, f '(1) = 6, f '(4) = 4, and f" is continuous. Find the value of…

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Q: Let 6х — 8 - f(x) = ln 5x + 4 f' (x) =

A:

Q: 3X + 3AX + 2 f'(x) = lim Ax→0 Ax

A: We have to find the value of f'(x).

Q: Find f'(x) if f(x) = tan-1 2x sec²(x) 1 1+x² 2x 1+x² 2x 1+x¹ 2x 1+x² 1-¹ (x²).

A:

Q: - 3 Let f(x) = 8xVæ + x2. f'(x) =

A: Use the derivative for finding the answer.

Q: 3. Differentiate. x²e* f(x)%3= x² + ex

A:

Q: 03: Let S(x)=12-x-1|-1. -1. Find f"(0) and Find f'(4)

A:

Q: 7. Find the intervals of increasing/decreasing for the function f(x) = x'e*

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Q: If f(x) = 4x + 2x + 6, find f' (2), using the definition of derivative. f' (2) is the limit as x →…

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Q: d) Using the table of standard transforms, find the inverse Laplace transforms of the following…

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Q: Use the Rules of Logs to expand, then find f'(x) given f(x) = ln V. ex X (x + 3)5

A: