Let X have a gamma distribution with pdf 1 f(x) = Γ(α)βα -xa-¹e-x/B, 0 < x <∞, a>0, ß>0

Q: A table of values for f, g, f', and g is given below. æ f(x) g(x) f'(x) g(x) 1 3 2 1 3 2 2 2 3 3 3…

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Q: use the table of values to calculate the derivative of the function at the given point. f(2x +…

A: To differntiate f(2x+g(x)), with respect to x, use the chain rule of differentiation,…

Q: A function f satisfies the following conditions. f(-3) = 2, f' (-3) = 0, f(-1) = 5, f' (-1) = 0, f…

A: Given that the function f satisfies the following conditions f(-3) = 2, f'(-3) = 0, f(-1) = 5,…

Q: Calculate the derivative.

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: rivative of a Quadratic Function g(x)=-2x² +5x-1 g'(x)=-4x+5 h(x)=1.5x? _7 h'(x)=3x j'(x)=-10x+2.5…

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Q: A mass-production line manufactures electrical heating elements with lifespans X; which have…

A: Since, you have posted a question with multiple sub-parts, as per our guidelines, we have provided…

Q: 3 X 1 2 3 4 5 f'(x) 5 12 4 3 g'(x) 3 245 1 [3f(x) - 4x] x=3 =(Type an integer or a decimal.) www

A: We will find the required.

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Q: find all critical points of the function f (x) = x ln x

A: Given: First, take the derivative equals to zero. Therefore,

Q: Determine p′(x) if p(x)=ln(5x^2+x+6/x^3/5 tan(x)).

A: Given query is to find the derivative of the function.

Q: Find the anti-derivative of g(x) = sec(x) tan(x) which contains the point (TT, 0). O G(x) = -csc(x)…

A: Solution to the anti-derivative can be found by integrating the function.

Q: Tutorial Exercise Let f(x) = e*g(x), where g(0) = 4 and g'(0) = 3. Find f'(0). Step 1 We are given…

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Q: Let g(x) = 6x³ + 7x7 +2r Determine the derivative of g. 70)- Determine the slope of g at = 1. g'(1)…

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Q: .) The instantaneous rateof change fucntion of f(x) = 4x² - 2x + 8 or the derivative of f(x) is: a.…

A: Given that: (i) f(x)=4x2-2x+8(ii)f(x)=sin x

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Q: Finding the rate of change of the function defined by y = x³ and evaluating it at x=9 units yields…

A: topic - rate of change of function

Q: Let h be a function that has second derivative (x+ 1) (x – 2) (x + 4)e5 h"(x) Is x=2 the…

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Q: x f(x) f'(x) g(x) g'(x) 34 1 6 1 4 -2 -6 1 3 5 1 3 3 6 5 1 3 -2 4 The functions f and g have…

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Q: A table of values for f, g, f', and g' is given. f(x) g(x) f '(x) g'(x) 1 3 2. 4 1 8 7 3 7 7 9 (a)…

A: Solve the function

Q: Find the derivative of the function. x+6 g(x)=| x2 +4 5(4 – 12x +x?) ( 6+x (4 +x²) a. g'(x)= 4+x?…

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Q: Consider the function f(x), whose first and second derivatives are given below: 26 8x27 208x(x-54) =…

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Q: Let F(2) = 2, F'(2) = 3, H(2) = 4, H'(2) = 3. A. If G(z) = F(z)*H(z), then G'(2) = _______ B. If…

A: The Product Rule:The Quotient Rule:

Q: Find the absolute extrema of the function f(x) = (x2 + 18)273 on the interval[-4,3]. Find the second…

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