Let f be a differentiable function such that f (3) = 2.345 and f' (x) = ln(x² + 1). What is the value of f (5) ? (A 3.301 (B 5.631

Q: 250 4. Use second derivative test to determine the relative extrema of the function: f(x) = x2 +

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Q: How are the functions f and g given by f (x) = (1.05)ª and g (x) = eº.05z similar? How are they…

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Q: Figure shows f, f ' , and f ''. Determine which is which.

A: First understand how to determine the absolute maximum or minimum of the function. Find the first…

Q: 14. What is the first derivative of f (x) = (x²- 4)(3x - 2)? %3D a. 9x2- 4x – 12 С. 6х d. (x + 2)(x…

A: first derivative of f(x) = (x2 -4)(3x-2) f(x) = 3x3 -2x2-12x +8 now df(x)/dx = 9x2 -4x -12 so answer…

Q: Differentiate the following function In z I y = 0 - 1/1/(x-²) I 1-ln z O O 1-r ln r r³ 0 1 I

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Q: 5. Determine the length of the cable.

A: Follow the procedure given below.

Q: Suppose that on the interval I, f(x) is positive and concave up. Furthermore, assume that f" (x)…

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Q: The derivative of the following function y=(x - 3) ( 1– x) O 4+ 2x O 4- 2x O 2+ 4x O 2- 4x

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Q: a) Differentiate the function below with respect to x. 3+7x –3–52 f(x) = 33

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Q: Write a derivative formula for the function fx)- 12.2(4.7 x2 1.5475x(4.7-2( 4.7*) f'(x) 12.2 = X

A: Given

Q: Given f(x)=x+(1/x).   Find f(a).

A: Given, The function is f(x)=x+(1/x).

Q: For which value ofx is the derivative of f(x) = (x+ 1)*(x+ 3)* equal to 0? -3 c. 1 d. 3 a. с. b. 0

A: Here we have to determine for which value of x is the derivative of f(x)=(x+1)8(x+3)4

Q: Consider the function f(x) x - 3 Compute each of the following. Simplify your answer and use exact…

A: fx=-x+5x-3

Q: Find f. f "(x) = 1//1- x?, () - = 2 f(x) =

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Q: Explain how f(x) = |x| is an example of a function that is continuous everywhere, but its derivative…

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