e par a cen Suppose (1) Determine P(X < 1/2). (2) Determine E(X) and V(X). is given on right. f(x)= 4x³, 0

Q: Consider the function f (x) = 6x² + 4x + 2. Find F(x) so that F' (x) = f(x). %3|

A: f(x)=6x2+4x+2To find: F(x) such that F'(x)=f(x)

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: 3x-4 -,x < 1 x+2 4. Given the function f (x) = . Calculate f'(1-) and f'(1+). In?x x+1

A:

Q: Give the value(s) of x at whichf has either a local minimum or a local maximum. Give the interval(s)…

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Q: 9. f(x)=T √√5x²

A:

Q: 2. Given f(x)=x-6, determine whether f'(6) exists.

A:

Q: Consider the function f(x) = 3x² + 30x + 83 Determine an expression for the derivative of f(x).

A: f(x)=3x2+30x+83

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

A:

Q: 3x+1 Evaluate f'(-1) given that f(x) = %3D 2x+1

A:

Q: f(x) 132. Let h (x) = g(x) Find a. h' (1), b. h' (3) , and с. h' (4).

A: Given

Q: 2. Determine the function f (x) for which f'(x) ==++ 3 1 + 8x3 x-2 x2 and f(1) = 7.

A: =&gt; f(x)= ∫ f'(x)dx

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

A:

Q: 22. Find the "natural" domain of the function f(x)=16r +Vx. x'-16x

A:

Q: 2. 3 Determine f'(x) and simplify. f(x) = (3x² - 4x) (2x - 3) ³

A: Topic = Derivative

Q: a) If f (x) = 12x, find f' (27). %3D

A: Solve the function

Q: Given f(x) = x + 4, x < 0. Find (f-1)' (5) 10 1 2 | 29

A:

Q: 2. Find f'(x) for f(x) = x²e.

A:

Q: Differentiate the following function. = VP + 2V7 u = u'(t) =|| I

A:

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

A: We need to find out first partial derivative

Q: Consider the function f(x)=eXx. Select all that apply. Select 3 correct answer(s) f(0) is positive.…

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Q: 3. Over which interval is the function f (x) = 1 + 2ex -3x increasing?

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Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

A:

Q: 24. (EXERCISE) Consider the function f(x)=3x* – 20x' + 42x² – 36x

A: The given function,   f(x)=3x4-20x3+42x2-36x

Q: Find a > 1 to express y = 3(2/9)x in the form y = 3(a−x)

A: