dx = In[F(x)]+C. what is F(/3) if C = 0? For (x+x³) (x Tan-'x + 1)

Q: Let f''(x) = 36 sin(6x) and suppose f'(0) 6 and f(0) = 4. Find f(5) a(;) =

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A: Given f(x) and find second derivative of this function. We use trigonometry relations and derivative…

Q: Let f(x)=x^2−8x+5 with domain 0<x<4 Calculate (f^−1)′(−2)

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Q: Suppose that 2 < f '(x) < 4 for all values of x. What are the minimum and maximum possible values of…

A: (a) Given that 2≤f'(x)≤4 for all values of x. By mean value theorem, if f(x) is continues in a,b and…

Q: f(x) = |x| · : %3D Then f-l(x) = if x > 0, and f-l (x) = if x < 0.

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Q: Let f'(x)= = f(x) = x² tan ¹(7x)

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Q: F(t) = e^2t - 8/ 1-t Will this be undefined? And why? And which values of t is the function

A: given F(t) = e^2t - 8/ 1-t

Q: If f(x) = 7 sin-(*), then f'(2) - =

A: dsin-1xdx = 11-x2 dxndx=n.xn-1

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Q: Find f'(-1) for f(x) = 2x, Express in exact form?

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Q: Let f(x) = tan '(sin(2a)) f'(r)

A: Given :f(x)=tan-1(sin(2x))

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Q: Let x +1 f(x) = x + 9

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Q: Check whether the function f(x) = cotx and f(x) = sin2x is well-conditioned or ill- conditioned at x…

A: A function is said to be well-conditioned at a point if small changes in the input result in small…

Q: Find f'(x) and simplify. X X-19 f(x) = Which of the following shows the correct application of the…

A: Given that       f(x) = x/(x-19)

Q: If f(x) 5æ - 2x 2x3 find f'(x) x4

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Q: бх + 3 f(x) = In 5х — 3

A: Given: fx=ln 6x+35x-3 To Find:  f'x=?

Q: 3x2-7x+8 f(x) = Find f'(x) %3D sin (5x2+9x-6)

A: Here we use division rule of differenciation.

Q: d dx f(x)=sina, f(0) = 7.

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Q: Let f(x) : Find f'(x). (Suggestion: rewrite the function before differentiating it.) х +

A: Solution

Q: Find f'(x). 4 f(x) = 3x5 (x² - 4) X

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Q: f(x) = 5x^3/sin(2x-9) what is f(18)?

A: We have to find the function value

Q: Show that the function f(x)=x^-4 +cos(-2x) is even, odd, or neither."

A: Given, f(x)= x^-4 +cos(-2x) f(x)= (1/x)4 + cos(-2x)

Q: 1. Determine f'(x) and DO NOT simplify. f(x) = 2x³7x² + 3x - 1 a) c) f(x) = -3√x 2 b) f(x) =…

A: To determine f'x and to do not simplify. (a) fx=2x3-7x2+3x-1 (b) fx=5x2-3x (c) fx=2x2-3x

Q: lf f(x) = x sin(2x), evaluate ƒ''(7). 2 ƒ'' (-/-) =

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Q: Let f(x) tan-(cos(32)) f'(x) =

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Q: if f(X)=(1-2X)^5 then find f`(X)

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Q: O 16xsec²(4x²)tan(4x²)

A: Given that the function

Q: Consider the function f(x)=1/(e^x) -2 List all the x values for which the function is discontinuous

A: Consider the function f(x)=1/(e^x) -2