The weekly demand for propane gas (in 1000s of gallons) from a particular facility is an rv X with the following pdf 1sxS 2 f(x) otherwise

Q: Compute the derivative.    f'(3),   f(x) = log5 x

A: Given: fx=log5 x  ……1   To find: f'3

Q: Find the Derivative of the Function: 1 f(x) (5х + 1)

A: To find the derivative of the given function.

Q: use the definition of derivative to find f prime (x). f(x)= 3(2x-1)^3

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Q: Find the derivative of the f(x) = (x² + 1)³

A: To find the derivative of the function: fx=x2+13

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A:

Q: Use the second derivative test to find the extreme values of the function J () = x³ – su² 24X .

A:

Q: What is the derivative of loga x? Are there any restrictions on a?

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Q: Differentiate the following function.   y =  ln -2x + 1

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Q: Find f(x) if f(3) = 0 and the tangent line at (x, f(x)) has slope- x2 + 5 f(x) =

A: Given that

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A: Find the equation of line

Q: ind the derivative of  f(x) = x^4-7x^3+7x-3

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Q: Find an equation of the line tangent to the graph of f(x) when x = 2: f(x) = Vx +2

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Q: need fast

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Q: Find the equation of the secant line for f(x) = log2 (3x² + 2x – 1) from x = 1 to x = 3.

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Q: compute the derivative. f '(x), f (x) = log2 x

A: Given the function f (x) = log2 x

Q: Find the equation of the line tangent to the graph of f(x)= (lnx)3  at x=10.

A:

Q: Find the derivative of f( x ) = log3(x + 6.5). f'(x) =

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Q: 1 ソ= 1- x

A:

Q: Find the derivative of f(x) = 33x-1 O 33x-2 In3 O 33x-1 In3 33x In3 32x In3

A: (1). Given: fx=33x-1   As we know that; The Power law; ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x And…

Q: Compute the derivative. f (x) = (2x4 − 4x−1) sec x

A:

Q: sketch the graphof the function and state its domain. f (x) = 4 ln(x − 2) + 1

A: A function is usually represented as f(x) where x is the input to the function and f(x) represents…

Q: Find the derivative of f(x) = log35x2+1

A:

Q: Find the derivative of the function.

A: the given function is: hx=ln2x2+1 we have to find the derivative of the given function.

Q: Find an equation of the tangent line to the graph of the function  y = log3 x, at the given point…

A: y = log3 x

Q: Find the derivative of the function.

A: Given: fx=ln 3x To Find: The derivative of the given function

Q: Find the derivative of f( x ) = æ° log3 (x + 4.5). %3D f'(x) =

A:

Q: Find the derivative of f(x) = log3 5x2 +1

A: Find the derivative of fx=log35x2+1

Q: Find the derivative. y = In {(x + 1)(2x + 9))

A: Derivative of any function is the rate of change. It represents the amount by which the function is…

Q: What is the inflection point of the function f(x) = x5 ln(x)?

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Q: Compute the derivative. f'(x), f(x) = log2 x

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Q: Determine the equation of the tangent line to the graph of y = f'(x) at the point where x = 1 if…

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Q: Find the derivative of f (x) =arcosh (4x2 + 2x + 1).

A:

Q: Find the derivative.

A: Differentiate above equation with respect to x dydx=ddx{ln(x+1x3+1)}dydx=1(x+1x3+1)ddx(x+1x3+1)…

Q: Find the derivative of the function. f(x) = In(6x + 7)

A: Given that: f(x) = ln (6x+7) To find: Derivative of the given function f(x).

Q: Compute the Indicated derivative. 7. f" (x) for f(x) = 5x2-14x + %3D

A:

Q: Find the derivative of f(x) = logs((-x)° /9x +3) using the properties of logarithms.

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Q: Find the derivative of the function. f(x) = arcsec(4x) f'(x) = 4 4π√ 16x² - 1 :or 1 xV 16x²-1 2

A: Topic = Derivative

Q: Find the derivative of the function below: 4 f(x) + 1600 In(3 x7 x8 f'(x)

A: Given : fx = -4x7-5x8-6x9 + 1600ln3

Q: Find the derivative of the function. g(x) = In(x – 5.1x=1) g'(x) =

A:

Q: Find the derivative of the function. 9x + 1 h(x) = In 4х - 2. h'(x) =

A: Solution: The objective is to find the derivative of the given function

Q: Find the derivative of the function. f(x) = (x² + 8) In(x) f'(x) =

A: In this question we need to find a derivative of the given function

Q: Find the first and second derivatives of the following functions and use them to sketch a graph. f…

A: Please refer to the image below

Q: Find the derivative of the logarithmic function. f(x) = 2x² In 2x f'(x)= 4in (2x) + 6

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Q: Compute the derivative of the given function. log3 x f (x) = %3D cot x - 2x2

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Q: Find the derivative of the function: f(x)=  (3square root of x)-4x2 + log x +12

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Q: Suppose the first derivative of a function is f'(x) = (x- 30)(19x+ 1). The function f is decreasing…

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Q: Find the derivative of the following function by first expanding the expression. f(x) = (2x + 5)…

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Q: 6) Find the derivative of each function. a) f(x) = In(4x +7) %3D

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Q: A company has a stock valued at A, in millions of dollars, that changes at a rate given by dA dx =…

A: